13136107257 has 64 divisors (see below), whose sum is σ = 24030289920. Its totient is φ = 6906254400.

The previous prime is 13136107249. The next prime is 13136107267. The reversal of 13136107257 is 75270163131.

13136107257 is a `hidden beast` number, since 1 + 3 + 13 + 610 + 7 + 25 + 7 = 666.

It is not a de Polignac number, because 13136107257 - 2³ = 13136107249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13136107207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755532 + ... + 772722.

It is an arithmetic number, because the mean of its divisors is an integer number (375473280).

Almost surely, 2^13136107257 is an apocalyptic number.

It is an amenable number.

13136107257 is a deficient number, since it is larger than the sum of its proper divisors (10894182663).

13136107257 is a wasteful number, since it uses less digits than its factorization.

13136107257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17531 (or 17525 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 13136107257 in words is "thirteen billion, one hundred thirty-six million, one hundred seven thousand, two hundred fifty-seven".