113008388801 has 24 divisors (see below), whose sum is σ = 143441640000. Its totient is φ = 88038770400.

The previous prime is 113008388789. The next prime is 113008388809. The reversal of 113008388801 is 108883800311.

It is not a de Polignac number, because 113008388801 - 2¹⁸ = 113008126657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113008388809) 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 23 ways as a sum of consecutive naturals, for example, 2673491 + ... + 2715431.

It is an arithmetic number, because the mean of its divisors is an integer number (5976735000).

Almost surely, 2^113008388801 is an apocalyptic number.

113008388801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113008388801 is a deficient number, since it is larger than the sum of its proper divisors (30433251199).

113008388801 is a wasteful number, since it uses less digits than its factorization.

113008388801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46965 (or 46958 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 41.

The spelling of 113008388801 in words is "one hundred thirteen billion, eight million, three hundred eighty-eight thousand, eight hundred one".