31002011020013 has 16 divisors (see below), whose sum is σ = 35601085132800. Its totient is φ = 26699779295280.

The previous prime is 31002011019997. The next prime is 31002011020021.

31002011020013 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31002011020013 - 2⁴ = 31002011019997 is a prime.

It is a super-2 number, since 2×31002011020013² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31002011020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002011070013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9578420 + ... + 12399602.

It is an arithmetic number, because the mean of its divisors is an integer number (2225067820800).

Almost surely, 2^{31002011020013} is an apocalyptic number.

It is an amenable number.

31002011020013 is a deficient number, since it is larger than the sum of its proper divisors (4599074112787).

31002011020013 is a wasteful number, since it uses less digits than its factorization.

31002011020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873792.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 3100201 and 1020013, that added together give a palindrome (4120214).

The spelling of 31002011020013 in words is "thirty-one trillion, two billion, eleven million, twenty thousand, thirteen".