13158838577313 has 48 divisors (see below), whose sum is σ = 22805259998976. Its totient is φ = 7204958449920.

The previous prime is 13158838577263. The next prime is 13158838577359. The reversal of 13158838577313 is 31377583885131.

It is a happy number.

13158838577313 is a `hidden beast` number, since 1 + 3 + 1 + 58 + 8 + 3 + 8 + 577 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 13158838577313 - 2¹² = 13158838573217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13158838577413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108710020 + ... + 108830997.

It is an arithmetic number, because the mean of its divisors is an integer number (475109583312).

Almost surely, 2^{13158838577313} is an apocalyptic number.

13158838577313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13158838577313 is a deficient number, since it is larger than the sum of its proper divisors (9646421421663).

13158838577313 is a wasteful number, since it uses less digits than its factorization.

13158838577313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217541094 (or 217541091 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 13158838577313 in words is "thirteen trillion, one hundred fifty-eight billion, eight hundred thirty-eight million, five hundred seventy-seven thousand, three hundred thirteen".