113534525124100 has 18 divisors (see below), whose sum is σ = 246369919519514. Its totient is φ = 45413810049600.

The previous prime is 113534525124067. The next prime is 113534525124107. The reversal of 113534525124100 is 1421525435311.

It can be written as a sum of positive squares in 3 ways, for example, as 36147703191616 + 77386821932484 = 6012296^2 + 8796978^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113534525124100.

It is not an unprimeable number, because it can be changed into a prime (113534525124107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567672625521 + ... + 567672625720.

Almost surely, 2^{113534525124100} is an apocalyptic number.

113534525124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113534525124100 is an abundant number, since it is smaller than the sum of its proper divisors (132835394395414).

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

113534525124100 is a wasteful number, since it uses less digits than its factorization.

113534525124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135345251255 (or 1135345251248 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 113534525124100 in words is "one hundred thirteen trillion, five hundred thirty-four billion, five hundred twenty-five million, one hundred twenty-four thousand, one hundred".