113271910981520 has 80 divisors (see below), whose sum is σ = 272882913683760. Its totient is φ = 43675028232192.

The previous prime is 113271910981511. The next prime is 113271910981529. The reversal of 113271910981520 is 25189019172311.

It is an interprime number because it is at equal distance from previous prime (113271910981511) and next prime (113271910981529).

It can be written as a sum of positive squares in 8 ways, for example, as 10767139694224 + 102504771287296 = 3281332^2 + 10124464^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (113271910981529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38401739 + ... + 41246058.

It is an arithmetic number, because the mean of its divisors is an integer number (3411036421047).

Almost surely, 2^{113271910981520} is an apocalyptic number.

113271910981520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113271910981520 is an abundant number, since it is smaller than the sum of its proper divisors (159611002702240).

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

113271910981520 is a wasteful number, since it uses less digits than its factorization.

113271910981520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79648452 (or 79648446 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 50.

The spelling of 113271910981520 in words is "one hundred thirteen trillion, two hundred seventy-one billion, nine hundred ten million, nine hundred eighty-one thousand, five hundred twenty".