310031101130013 has 12 divisors (see below), whose sum is σ = 447823372919520. Its totient is φ = 206687090928456.

The previous prime is 310031101129969. The next prime is 310031101130041.

310031101130013 is a `hidden beast` number, since 31 + 0 + 0 + 311 + 0 + 11 + 300 + 13 = 666.

310031101130013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310031101130013 - 2³⁴ = 310013921260829 is a prime.

It is a super-2 number, since 2×310031101130013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310031101130063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19397131 + ... + 31564392.

It is an arithmetic number, because the mean of its divisors is an integer number (37318614409960).

Almost surely, 2^{310031101130013} is an apocalyptic number.

It is an amenable number.

310031101130013 is a deficient number, since it is larger than the sum of its proper divisors (137792271789507).

310031101130013 is a wasteful number, since it uses less digits than its factorization.

310031101130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51637488 (or 51637485 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 31003110 and 1130013, that added together give a palindrome (32133123).

The spelling of 310031101130013 in words is "three hundred ten trillion, thirty-one billion, one hundred one million, one hundred thirty thousand, thirteen".