113527720876801 has 24 divisors (see below), whose sum is σ = 142614197353152. Its totient is φ = 88462624404000.

The previous prime is 113527720876783. The next prime is 113527720876831. The reversal of 113527720876801 is 108678027725311.

It is a happy number.

It is not a de Polignac number, because 113527720876801 - 2¹⁵ = 113527720844033 is a prime.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (113527720876831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195961506 + ... + 196539988.

It is an arithmetic number, because the mean of its divisors is an integer number (5942258223048).

Almost surely, 2^{113527720876801} is an apocalyptic number.

113527720876801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113527720876801 is a deficient number, since it is larger than the sum of its proper divisors (29086476476351).

113527720876801 is a wasteful number, since it uses less digits than its factorization.

113527720876801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810213 (or 810202 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 58.

The spelling of 113527720876801 in words is "one hundred thirteen trillion, five hundred twenty-seven billion, seven hundred twenty million, eight hundred seventy-six thousand, eight hundred one".