diff --git a/libcxx/include/type_traits b/libcxx/include/type_traits
--- a/libcxx/include/type_traits
+++ b/libcxx/include/type_traits
@@ -1451,7 +1451,8 @@
 
 // is_unsigned
 
-#if __has_keyword(__is_unsigned)
+// Before clang 13, __is_unsigned returned true for enums with signed underlying type
+#if __has_keyword(__is_unsigned) && _LIBCPP_CLANG_VER >= 1300
 
 template<class _Tp>
 struct _LIBCPP_TEMPLATE_VIS is_unsigned : _BoolConstant<__is_unsigned(_Tp)> { };
@@ -1461,7 +1462,7 @@
 _LIBCPP_INLINE_VAR _LIBCPP_CONSTEXPR bool is_unsigned_v = __is_unsigned(_Tp);
 #endif
 
-#else // __has_keyword(__is_unsigned)
+#else // __has_keyword(__is_unsigned) && _LIBCPP_CLANG_VER >= 1300
 
 template <class _Tp, bool = is_integral<_Tp>::value>
 struct __libcpp_is_unsigned_impl : public _LIBCPP_BOOL_CONSTANT(_Tp(0) < _Tp(-1)) {};
@@ -1482,7 +1483,7 @@
     = is_unsigned<_Tp>::value;
 #endif
 
-#endif // __has_keyword(__is_unsigned)
+#endif // __has_keyword(__is_unsigned) && _LIBCPP_CLANG_VER >= 1300
 
 // rank
 
diff --git a/libcxx/test/std/utilities/meta/meta.unary/meta.unary.comp/is_arithmetic.pass.cpp b/libcxx/test/std/utilities/meta/meta.unary/meta.unary.comp/is_arithmetic.pass.cpp
--- a/libcxx/test/std/utilities/meta/meta.unary/meta.unary.comp/is_arithmetic.pass.cpp
+++ b/libcxx/test/std/utilities/meta/meta.unary/meta.unary.comp/is_arithmetic.pass.cpp
@@ -69,6 +69,12 @@
 
 enum Enum {zero, one};
 
+enum EnumSigned : int { two };
+
+enum EnumUnsigned : unsigned { three };
+
+enum class EnumClass { zero, one };
+
 typedef void (*FunctionPtr)();
 
 
@@ -97,6 +103,9 @@
     test_is_not_arithmetic<char[]>();
     test_is_not_arithmetic<Union>();
     test_is_not_arithmetic<Enum>();
+    test_is_not_arithmetic<EnumSigned>();
+    test_is_not_arithmetic<EnumUnsigned>();
+    test_is_not_arithmetic<EnumClass>();
     test_is_not_arithmetic<FunctionPtr>();
     test_is_not_arithmetic<Empty>();
     test_is_not_arithmetic<incomplete_type>();
diff --git a/libcxx/test/std/utilities/meta/meta.unary/meta.unary.prop/is_signed.pass.cpp b/libcxx/test/std/utilities/meta/meta.unary/meta.unary.prop/is_signed.pass.cpp
--- a/libcxx/test/std/utilities/meta/meta.unary/meta.unary.prop/is_signed.pass.cpp
+++ b/libcxx/test/std/utilities/meta/meta.unary/meta.unary.prop/is_signed.pass.cpp
@@ -51,21 +51,73 @@
 
 struct A; // incomplete
 
+class incomplete_type;
+
+class Empty {};
+
+class NotEmpty {
+  virtual ~NotEmpty();
+};
+
+union Union {};
+
+struct bit_zero {
+  int : 0;
+};
+
+class Abstract {
+  virtual ~Abstract() = 0;
+};
+
+enum Enum { zero, one };
+
+enum EnumSigned : int { two };
+
+enum EnumUnsigned : unsigned { three };
+
+enum class EnumClass { zero, one };
+
+typedef void (*FunctionPtr)();
+
 int main(int, char**)
 {
-    test_is_not_signed<void>();
-    test_is_not_signed<int&>();
-    test_is_not_signed<Class>();
-    test_is_not_signed<int*>();
-    test_is_not_signed<const int*>();
-    test_is_not_signed<char[3]>();
-    test_is_not_signed<char[]>();
-    test_is_not_signed<bool>();
-    test_is_not_signed<unsigned>();
-    test_is_not_signed<A>();
-
-    test_is_signed<int>();
-    test_is_signed<double>();
+  // Cases where !is_arithmetic implies !is_signed
+  test_is_not_signed<std::nullptr_t>();
+  test_is_not_signed<void>();
+  test_is_not_signed<int&>();
+  test_is_not_signed<int&&>();
+  test_is_not_signed<Class>();
+  test_is_not_signed<int*>();
+  test_is_not_signed<const int*>();
+  test_is_not_signed<char[3]>();
+  test_is_not_signed<char[]>();
+  test_is_not_signed<Union>();
+  test_is_not_signed<Enum>();
+  test_is_not_signed<EnumSigned>();
+  test_is_not_signed<EnumUnsigned>();
+  test_is_not_signed<EnumClass>();
+  test_is_not_signed<FunctionPtr>();
+  test_is_not_signed<Empty>();
+  test_is_not_signed<incomplete_type>();
+  test_is_not_signed<A>();
+  test_is_not_signed<bit_zero>();
+  test_is_not_signed<NotEmpty>();
+  test_is_not_signed<Abstract>();
+
+  test_is_signed<signed char>();
+  test_is_signed<short>();
+  test_is_signed<int>();
+  test_is_signed<long>();
+  test_is_signed<float>();
+  test_is_signed<double>();
+
+  test_is_not_signed<unsigned char>();
+  test_is_not_signed<unsigned short>();
+  test_is_not_signed<unsigned int>();
+  test_is_not_signed<unsigned long>();
+
+  test_is_not_signed<bool>();
+  test_is_not_signed<unsigned>();
 
 #ifndef _LIBCPP_HAS_NO_INT128
     test_is_signed<__int128_t>();
diff --git a/libcxx/test/std/utilities/meta/meta.unary/meta.unary.prop/is_unsigned.pass.cpp b/libcxx/test/std/utilities/meta/meta.unary/meta.unary.prop/is_unsigned.pass.cpp
--- a/libcxx/test/std/utilities/meta/meta.unary/meta.unary.prop/is_unsigned.pass.cpp
+++ b/libcxx/test/std/utilities/meta/meta.unary/meta.unary.prop/is_unsigned.pass.cpp
@@ -51,21 +51,73 @@
 
 struct A; // incomplete
 
+class incomplete_type;
+
+class Empty {};
+
+class NotEmpty {
+  virtual ~NotEmpty();
+};
+
+union Union {};
+
+struct bit_zero {
+  int : 0;
+};
+
+class Abstract {
+  virtual ~Abstract() = 0;
+};
+
+enum Enum { zero, one };
+
+enum EnumSigned : int { two };
+
+enum EnumUnsigned : unsigned { three };
+
+enum class EnumClass { zero, one };
+
+typedef void (*FunctionPtr)();
+
 int main(int, char**)
 {
-    test_is_not_unsigned<void>();
-    test_is_not_unsigned<int&>();
-    test_is_not_unsigned<Class>();
-    test_is_not_unsigned<int*>();
-    test_is_not_unsigned<const int*>();
-    test_is_not_unsigned<char[3]>();
-    test_is_not_unsigned<char[]>();
-    test_is_not_unsigned<int>();
-    test_is_not_unsigned<double>();
-    test_is_not_unsigned<A>();
-
-    test_is_unsigned<bool>();
-    test_is_unsigned<unsigned>();
+  // Cases where !is_arithmetic implies !is_unsigned
+  test_is_not_unsigned<std::nullptr_t>();
+  test_is_not_unsigned<void>();
+  test_is_not_unsigned<int&>();
+  test_is_not_unsigned<int&&>();
+  test_is_not_unsigned<Class>();
+  test_is_not_unsigned<int*>();
+  test_is_not_unsigned<const int*>();
+  test_is_not_unsigned<char[3]>();
+  test_is_not_unsigned<char[]>();
+  test_is_not_unsigned<Union>();
+  test_is_not_unsigned<Enum>();
+  test_is_not_unsigned<EnumSigned>();
+  test_is_not_unsigned<EnumUnsigned>();
+  test_is_not_unsigned<EnumClass>();
+  test_is_not_unsigned<FunctionPtr>();
+  test_is_not_unsigned<Empty>();
+  test_is_not_unsigned<incomplete_type>();
+  test_is_not_unsigned<A>();
+  test_is_not_unsigned<bit_zero>();
+  test_is_not_unsigned<NotEmpty>();
+  test_is_not_unsigned<Abstract>();
+
+  test_is_not_unsigned<signed char>();
+  test_is_not_unsigned<short>();
+  test_is_not_unsigned<int>();
+  test_is_not_unsigned<long>();
+  test_is_not_unsigned<float>();
+  test_is_not_unsigned<double>();
+
+  test_is_unsigned<unsigned char>();
+  test_is_unsigned<unsigned short>();
+  test_is_unsigned<unsigned int>();
+  test_is_unsigned<unsigned long>();
+
+  test_is_unsigned<bool>();
+  test_is_unsigned<unsigned>();
 
 #ifndef _LIBCPP_HAS_NO_INT128
     test_is_unsigned<__uint128_t>();