113475127241100 has 144 divisors (see below), whose sum is σ = 330733015544736. Its totient is φ = 30037782528000.

The previous prime is 113475127241041. The next prime is 113475127241101. The reversal of 113475127241100 is 1142721574311.

113475127241100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (113475127241101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154079940 + ... + 1154178260.

It is an arithmetic number, because the mean of its divisors is an integer number (2296757052394).

Almost surely, 2^{113475127241100} is an apocalyptic number.

113475127241100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113475127241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165366507772368).

113475127241100 is an abundant number, since it is smaller than the sum of its proper divisors (217257888303636).

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

113475127241100 is a wasteful number, since it uses less digits than its factorization.

113475127241100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126556 (or 126549 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 113475127241100 in words is "one hundred thirteen trillion, four hundred seventy-five billion, one hundred twenty-seven million, two hundred forty-one thousand, one hundred".