A035067 n! has a palindromic prime number of digits.

4, 5, 6, 8, 10, 14, 70, 86, 111, 116, 199, 368, 372, 419, 423, 3391, 4013, 4182, 4790, 5821, 8625, 8752, 9187, 10477, 10904, 18335, 18595, 18808, 18925, 19844, 20267, 23086, 23157, 23665, 24286, 205587