13315940305632 has 144 divisors (see below), whose sum is σ = 39672143626752. Its totient is φ = 4231353012480.

The previous prime is 13315940305561. The next prime is 13315940305637. The reversal of 13315940305632 is 23650304951331.

13315940305632 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 5 + 9 + 4 + 0 + 3 + 0 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13315940305637) 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, 10532278 + ... + 11728629.

It is an arithmetic number, because the mean of its divisors is an integer number (275500997408).

Almost surely, 2^{13315940305632} is an apocalyptic number.

13315940305632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13315940305632 is an abundant number, since it is smaller than the sum of its proper divisors (26356203321120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13315940305632 is a wasteful number, since it uses less digits than its factorization.

13315940305632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22261021 (or 22261010 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 13315940305632 in words is "thirteen trillion, three hundred fifteen billion, nine hundred forty million, three hundred five thousand, six hundred thirty-two".