13272166755513 has 48 divisors (see below), whose sum is σ = 19683779544000. Its totient is φ = 8614366153344.

The previous prime is 13272166755503. The next prime is 13272166755541. The reversal of 13272166755513 is 31555766127231.

13272166755513 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 2 + 16 + 6 + 75 + 551 + 3 = 666.

It is not a de Polignac number, because 13272166755513 - 2³² = 13267871788217 is a prime.

It is a super-2 number, since 2×13272166755513² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13272166755513.

It is not an unprimeable number, because it can be changed into a prime (13272166755503) 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, 128034418 + ... + 128138036.

It is an arithmetic number, because the mean of its divisors is an integer number (410078740500).

Almost surely, 2^{13272166755513} is an apocalyptic number.

It is an amenable number.

13272166755513 is a deficient number, since it is larger than the sum of its proper divisors (6411612788487).

13272166755513 is a wasteful number, since it uses less digits than its factorization.

13272166755513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106006 (or 106003 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The spelling of 13272166755513 in words is "thirteen trillion, two hundred seventy-two billion, one hundred sixty-six million, seven hundred fifty-five thousand, five hundred thirteen".