137163131313 has 32 divisors (see below), whose sum is σ = 208613978496. Its totient is φ = 79413808128.

The previous prime is 137163131299. The next prime is 137163131323. The reversal of 137163131313 is 313131361731.

It is not a de Polignac number, because 137163131313 - 2⁸ = 137163131057 is a prime.

It is a super-2 number, since 2×137163131313² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137163131323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1844470 + ... + 1917392.

It is an arithmetic number, because the mean of its divisors is an integer number (6519186828).

Almost surely, 2^137163131313 is an apocalyptic number.

137163131313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137163131313 is a deficient number, since it is larger than the sum of its proper divisors (71450847183).

137163131313 is a wasteful number, since it uses less digits than its factorization.

137163131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75793.

The product of its digits is 10206, while the sum is 33.

The spelling of 137163131313 in words is "one hundred thirty-seven billion, one hundred sixty-three million, one hundred thirty-one thousand, three hundred thirteen".