11311

This number is a prime.

The smallest number that is the sum of twice a positive square and a prime in 53 ways. Note it's also a palindromic prime.

The only five-digit number such that its nth digit equals the remainder when the number is divided by n + 1. [Rupinski]

The smallest palindromic prime whose alternate digits (11311) segregate and reunite to form two "daughter" palindromic primes (131 ; 11). [Beedassy]

The smallest prime equidistant between the members of an emirp pair: (10321, 12301). Note that 11311 is a reflectable palindromic prime of form "primemirp." [Beedassy]