31314542113331 has 2 divisors, whose sum is σ = 31314542113332. Its totient is φ = 31314542113330.

The previous prime is 31314542113301. The next prime is 31314542113333. The reversal of 31314542113331 is 13331124541313.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 31314542113331 - 2³⁴ = 31297362244147 is a prime.

It is a super-3 number, since 3×31314542113331³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 31314542113333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 31314542113291 and 31314542113300.

It is not a weakly prime, because it can be changed into another prime (31314542113333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15657271056665 + 15657271056666.

It is an arithmetic number, because the mean of its divisors is an integer number (15657271056666).

Almost surely, 2^{31314542113331} is an apocalyptic number.

31314542113331 is a deficient number, since it is larger than the sum of its proper divisors (1).

31314542113331 is an equidigital number, since it uses as much as digits as its factorization.

31314542113331 is an evil number, because the sum of its binary digits is even.

The product of its digits is 38880, while the sum is 35.

Adding to 31314542113331 its reverse (13331124541313), we get a palindrome (44645666654644).

The spelling of 31314542113331 in words is "thirty-one trillion, three hundred fourteen billion, five hundred forty-two million, one hundred thirteen thousand, three hundred thirty-one".