813137913 has 16 divisors (see below), whose sum is σ = 1376741760. Its totient is φ = 464650128.

The previous prime is 813137903. The next prime is 813137917. The reversal of 813137913 is 319731318.

It is not a de Polignac number, because 813137913 - 2⁹ = 813137401 is a prime.

It is a super-2 number, since 2×813137913² = 1322386531115991138, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (813137917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2150970 + ... + 2151347.

It is an arithmetic number, because the mean of its divisors is an integer number (86046360).

Almost surely, 2^813137913 is an apocalyptic number.

It is an amenable number.

813137913 is a deficient number, since it is larger than the sum of its proper divisors (563603847).

813137913 is a wasteful number, since it uses less digits than its factorization.

813137913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302333 (or 4302327 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 813137913 is about 28515.5731662543. The cubic root of 813137913 is about 933.3719322330.

The spelling of 813137913 in words is "eight hundred thirteen million, one hundred thirty-seven thousand, nine hundred thirteen".