13038537964401 has 24 divisors (see below), whose sum is σ = 18982108753920. Its totient is φ = 8623746686016.

The previous prime is 13038537964393. The next prime is 13038537964411. The reversal of 13038537964401 is 10446973583031.

13038537964401 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 8 + 537 + 9 + 64 + 40 + 1 = 666.

It is not a de Polignac number, because 13038537964401 - 2³ = 13038537964393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13038537964411) 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, 91543720 + ... + 91686038.

It is an arithmetic number, because the mean of its divisors is an integer number (790921198080).

Almost surely, 2^{13038537964401} is an apocalyptic number.

It is an amenable number.

13038537964401 is a deficient number, since it is larger than the sum of its proper divisors (5943570789519).

13038537964401 is a wasteful number, since it uses less digits than its factorization.

13038537964401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222605 (or 222602 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 13038537964401 in words is "thirteen trillion, thirty-eight billion, five hundred thirty-seven million, nine hundred sixty-four thousand, four hundred one".