3131166601013 has 16 divisors (see below), whose sum is σ = 3488591151360. Its totient is φ = 2785874227200.

The previous prime is 3131166601001. The next prime is 3131166601039. The reversal of 3131166601013 is 3101066611313.

It is a cyclic number.

It is not a de Polignac number, because 3131166601013 - 2¹⁸ = 3131166338869 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 (3131166601513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27572333 + ... + 27685661.

It is an arithmetic number, because the mean of its divisors is an integer number (218036946960).

Almost surely, 2^{3131166601013} is an apocalyptic number.

It is an amenable number.

3131166601013 is a deficient number, since it is larger than the sum of its proper divisors (357424550347).

3131166601013 is a wasteful number, since it uses less digits than its factorization.

3131166601013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166828.

The product of its (nonzero) digits is 5832, while the sum is 32.

The spelling of 3131166601013 in words is "three trillion, one hundred thirty-one billion, one hundred sixty-six million, six hundred one thousand, thirteen".