13004536113 has 24 divisors (see below), whose sum is σ = 19333911168. Its totient is φ = 8417056032.

The previous prime is 13004536067. The next prime is 13004536123. The reversal of 13004536113 is 31163540031.

13004536113 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 45 + 3 + 611 + 3 = 666.

It is not a de Polignac number, because 13004536113 - 2⁸ = 13004535857 is a prime.

It is a super-2 number, since 2×13004536113² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13004536123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112006 + ... + 196352.

It is an arithmetic number, because the mean of its divisors is an integer number (805579632).

Almost surely, 2^13004536113 is an apocalyptic number.

It is an amenable number.

13004536113 is a deficient number, since it is larger than the sum of its proper divisors (6329375055).

13004536113 is a wasteful number, since it uses less digits than its factorization.

13004536113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84853 (or 84850 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 13004536113 in words is "thirteen billion, four million, five hundred thirty-six thousand, one hundred thirteen".