I wondered if we map English letters to digits (a=0, b=1, c=2, ... , z=25) is there anything which is both a palindrome in its English form and in its number form, and prime? I took a list of palindromes from Wikipedia[1] and tested them, and yes:

deified 3485843

bib 181

did 383

I note that none of them use letters which map to double-digits (k=10, l=11, m=12, etc.); none of the palindrome sentences make palindromic numbers (ignoring case, stripping all punctuation); could there be one which does?

[1] https://en.wiktionary.org/wiki/Appendix:English_palindromes