13101056453331 has 96 divisors (see below), whose sum is σ = 24595452850176. Its totient is φ = 6520992480000.

The previous prime is 13101056453281. The next prime is 13101056453333. The reversal of 13101056453331 is 13335465010131.

13101056453331 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 0 + 5 + 645 + 3 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 13101056453331 - 2¹⁴ = 13101056436947 is a prime.

It is a super-2 number, since 2×13101056453331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13101056453333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 849196 + ... + 5188761.

It is an arithmetic number, because the mean of its divisors is an integer number (256202633856).

Almost surely, 2^{13101056453331} is an apocalyptic number.

13101056453331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13101056453331 is a deficient number, since it is larger than the sum of its proper divisors (11494396396845).

13101056453331 is a wasteful number, since it uses less digits than its factorization.

13101056453331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038113 (or 6038110 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 13101056453331 in words is "thirteen trillion, one hundred one billion, fifty-six million, four hundred fifty-three thousand, three hundred thirty-one".