3131332331313 has 16 divisors (see below), whose sum is σ = 4540182969600. Its totient is φ = 1911655984896.

The previous prime is 3131332331299. The next prime is 3131332331389.

3131332331313 is nontrivially palindromic in base 10.

3131332331313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3131332331313 - 2⁶ = 3131332331249 is a prime.

It is a super-2 number, since 2×3131332331313² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3131332333313) 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, 829709913 + ... + 829713686.

It is an arithmetic number, because the mean of its divisors is an integer number (283761435600).

Almost surely, 2^{3131332331313} is an apocalyptic number.

It is an amenable number.

3131332331313 is a deficient number, since it is larger than the sum of its proper divisors (1408850638287).

3131332331313 is a wasteful number, since it uses less digits than its factorization.

3131332331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659423656.

The product of its digits is 13122, while the sum is 30.

The spelling of 3131332331313 in words is "three trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred thirty-one thousand, three hundred thirteen".