Prime Curios!: 11311

11311
(another Prime Pages' Curiosity)

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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 palindromic prime showing a multidigit palindromic prime on each side of the central digit. [Silva]