13057261145631 has 8 divisors (see below), whose sum is σ = 19344090586160. Its totient is φ = 8704840763736.

The previous prime is 13057261145627. The next prime is 13057261145651. The reversal of 13057261145631 is 13654116275031.

13057261145631 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 7 + 2 + 6 + 1 + 1 + 4 + 5 + 631 = 666.

It is not a de Polignac number, because 13057261145631 - 2² = 13057261145627 is a prime.

It is a super-2 number, since 2×13057261145631² (a number of 27 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 (13057261145651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241801132300 + ... + 241801132353.

It is an arithmetic number, because the mean of its divisors is an integer number (2418011323270).

Almost surely, 2^{13057261145631} is an apocalyptic number.

13057261145631 is a deficient number, since it is larger than the sum of its proper divisors (6286829440529).

13057261145631 is an equidigital number, since it uses as much as digits as its factorization.

13057261145631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483602264662 (or 483602264656 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13057261145631 in words is "thirteen trillion, fifty-seven billion, two hundred sixty-one million, one hundred forty-five thousand, six hundred thirty-one".