31213312112313 has 6 divisors (see below), whose sum is σ = 45085895273354. Its totient is φ = 20808874741536.

The previous prime is 31213312112303. The next prime is 31213312112341. The reversal of 31213312112313 is 31321121331213.

31213312112313 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 331 + 2 + 1 + 12 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26623618596864 + 4589693515449 = 5159808^2 + 2142357^2 .

It is not a de Polignac number, because 31213312112313 - 2³² = 31209017145017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31213312112303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1734072895120 + ... + 1734072895137.

Almost surely, 2^{31213312112313} is an apocalyptic number.

It is an amenable number.

31213312112313 is a deficient number, since it is larger than the sum of its proper divisors (13872583161041).

31213312112313 is a wasteful number, since it uses less digits than its factorization.

31213312112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468145790263 (or 3468145790260 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 31213312112313 its reverse (31321121331213), we get a palindrome (62534433443526).

The spelling of 31213312112313 in words is "thirty-one trillion, two hundred thirteen billion, three hundred twelve million, one hundred twelve thousand, three hundred thirteen".