31003311330013 has 32 divisors (see below), whose sum is σ = 34212454383744. Its totient is φ = 27861213600000.

The previous prime is 31003311330001. The next prime is 31003311330023.

31003311330013 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-31003311330013 is a prime.

It is a super-2 number, since 2×31003311330013² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31003311330023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3131326363 + ... + 3131336263.

It is an arithmetic number, because the mean of its divisors is an integer number (1069139199492).

Almost surely, 2^{31003311330013} is an apocalyptic number.

It is an amenable number.

31003311330013 is a deficient number, since it is larger than the sum of its proper divisors (3209143053731).

31003311330013 is a wasteful number, since it uses less digits than its factorization.

31003311330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19357.

The product of its (nonzero) digits is 729, while the sum is 22.

It can be divided in two parts, 3100331 and 1330013, that added together give a palindrome (4430344).

The spelling of 31003311330013 in words is "thirty-one trillion, three billion, three hundred eleven million, three hundred thirty thousand, thirteen".