31261630064013 has 48 divisors (see below), whose sum is σ = 50184778390656. Its totient is φ = 19396169876160.

The previous prime is 31261630063999. The next prime is 31261630064029. The reversal of 31261630064013 is 31046003616213.

31261630064013 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 1 + 6 + 3 + 0 + 0 + 640 + 1 + 3 = 666.

It is not a de Polignac number, because 31261630064013 - 2⁴ = 31261630063997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31261630064083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75379978 + ... + 75793563.

It is an arithmetic number, because the mean of its divisors is an integer number (1045516216472).

Almost surely, 2^{31261630064013} is an apocalyptic number.

It is an amenable number.

31261630064013 is a deficient number, since it is larger than the sum of its proper divisors (18923148326643).

31261630064013 is a wasteful number, since it uses less digits than its factorization.

31261630064013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151173616 (or 151173604 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 31261630064013 in words is "thirty-one trillion, two hundred sixty-one billion, six hundred thirty million, sixty-four thousand, thirteen".