31362122126313 has 54 divisors (see below), whose sum is σ = 52052551488938. Its totient is φ = 18180940029120.

The previous prime is 31362122126281. The next prime is 31362122126323.

31362122126313 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 2 + 1 + 2 + 2 + 12 + 631 + 3 = 666.

31362122126313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 28010630345049 + 3351491781264 = 5292507^2 + 1830708^2 .

It is not a de Polignac number, because 31362122126313 - 2⁵ = 31362122126281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31362122126323) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 26644156 + ... + 27796317.

Almost surely, 2^{31362122126313} is an apocalyptic number.

31362122126313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31362122126313 is a deficient number, since it is larger than the sum of its proper divisors (20690429362625).

31362122126313 is a wasteful number, since it uses less digits than its factorization.

31362122126313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54440547 (or 54440510 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 31362122126313 in words is "thirty-one trillion, three hundred sixty-two billion, one hundred twenty-two million, one hundred twenty-six thousand, three hundred thirteen".