31002133120013 has 32 divisors (see below), whose sum is σ = 35894963994624. Its totient is φ = 26511176880000.

The previous prime is 31002133119977. The next prime is 31002133120039.

31002133120013 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31002133120013 - 2¹⁰ = 31002133118989 is a prime.

It is a super-2 number, since 2×31002133120013² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002133120813) 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, 302381 + ... + 7880082.

It is an arithmetic number, because the mean of its divisors is an integer number (1121717624832).

Almost surely, 2^{31002133120013} is an apocalyptic number.

It is an amenable number.

31002133120013 is a deficient number, since it is larger than the sum of its proper divisors (4892830874611).

31002133120013 is a wasteful number, since it uses less digits than its factorization.

31002133120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182817.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 3100213 and 3120013, that added together give a palindrome (6220226).

The spelling of 31002133120013 in words is "thirty-one trillion, two billion, one hundred thirty-three million, one hundred twenty thousand, thirteen".