31346311364313 has 32 divisors (see below), whose sum is σ = 48887769231360. Its totient is φ = 17653916616960.

The previous prime is 31346311364213. The next prime is 31346311364393.

31346311364313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31346311364313 - 2¹⁷ = 31346311233241 is a prime.

It is a super-2 number, since 2×31346311364313² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31346311364393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353599845 + ... + 353688482.

It is an arithmetic number, because the mean of its divisors is an integer number (1527742788480).

Almost surely, 2^{31346311364313} is an apocalyptic number.

31346311364313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31346311364313 is a deficient number, since it is larger than the sum of its proper divisors (17541457867047).

31346311364313 is a wasteful number, since it uses less digits than its factorization.

31346311364313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707288437.

The product of its digits is 419904, while the sum is 42.

It can be divided in two parts, 3134631 and 1364313, that added together give a palindrome (4498944).

The spelling of 31346311364313 in words is "thirty-one trillion, three hundred forty-six billion, three hundred eleven million, three hundred sixty-four thousand, three hundred thirteen".