31020011002013 has 16 divisors (see below), whose sum is σ = 33876366713280. Its totient is φ = 28169726131200.

The previous prime is 31020011002007. The next prime is 31020011002031.

31020011002013 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31020011002013 - 2⁶ = 31020011001949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020011002063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53110298 + ... + 53691188.

It is an arithmetic number, because the mean of its divisors is an integer number (2117272919580).

Almost surely, 2^{31020011002013} is an apocalyptic number.

It is an amenable number.

31020011002013 is a deficient number, since it is larger than the sum of its proper divisors (2856355711267).

31020011002013 is a wasteful number, since it uses less digits than its factorization.

31020011002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586108.

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

It can be divided in two parts, 3102001 and 1002013, that added together give a palindrome (4104014).

The spelling of 31020011002013 in words is "thirty-one trillion, twenty billion, eleven million, two thousand, thirteen".