113550735103201 has 24 divisors (see below), whose sum is σ = 127340625273120. Its totient is φ = 100415372112000.

The previous prime is 113550735103177. The next prime is 113550735103277. The reversal of 113550735103201 is 102301537055311.

It is not a de Polignac number, because 113550735103201 - 2⁷ = 113550735103073 is a prime.

It is a super-3 number, since 3×113550735103201³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113550735103291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66180565 + ... + 67874653.

It is an arithmetic number, because the mean of its divisors is an integer number (5305859386380).

Almost surely, 2^{113550735103201} is an apocalyptic number.

113550735103201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113550735103201 is a deficient number, since it is larger than the sum of its proper divisors (13789890169919).

113550735103201 is a wasteful number, since it uses less digits than its factorization.

113550735103201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698625 (or 1698588 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 37.

The spelling of 113550735103201 in words is "one hundred thirteen trillion, five hundred fifty billion, seven hundred thirty-five million, one hundred three thousand, two hundred one".