313021313122122 has 64 divisors (see below), whose sum is σ = 765801377827200. Its totient is φ = 93984714512640.

The previous prime is 313021313122093. The next prime is 313021313122153. The reversal of 313021313122122 is 221221313120313.

313021313122122 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 2 + 131 + 312 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2417237583 + ... + 2417367074.

It is an arithmetic number, because the mean of its divisors is an integer number (11965646528550).

Almost surely, 2^{313021313122122} is an apocalyptic number.

313021313122122 is an abundant number, since it is smaller than the sum of its proper divisors (452780064705078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313021313122122 is a wasteful number, since it uses less digits than its factorization.

313021313122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834604788 (or 4834604782 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 313021313122122 its reverse (221221313120313), we get a palindrome (534242626242435).

It can be divided in two parts, 31302131 and 3122122, that added together give a triangular number (34424253 = T₈₂₉₇).

The spelling of 313021313122122 in words is "three hundred thirteen trillion, twenty-one billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred twenty-two".