13008131137 has 16 divisors (see below), whose sum is σ = 13835802240. Its totient is φ = 12203908992.

The previous prime is 13008131053. The next prime is 13008131219. The reversal of 13008131137 is 73113180031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13008131137 is a prime.

It is a super-2 number, since 2×13008131137² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13008141137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340939 + ... + 377167.

It is an arithmetic number, because the mean of its divisors is an integer number (864737640).

Almost surely, 2^13008131137 is an apocalyptic number.

It is an amenable number.

13008131137 is a deficient number, since it is larger than the sum of its proper divisors (827671103).

13008131137 is a wasteful number, since it uses less digits than its factorization.

13008131137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36552.

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 13008131137 in words is "thirteen billion, eight million, one hundred thirty-one thousand, one hundred thirty-seven".