113753325772200 has 192 divisors, whose sum is σ = 356144033805120. Its totient is φ = 30032423680000.

The previous prime is 113753325772159. The next prime is 113753325772213. The reversal of 113753325772200 is 2277523357311.

113753325772200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 113753325772200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1907718787 + ... + 1907778413.

It is an arithmetic number, because the mean of its divisors is an integer number (1854916842735).

Almost surely, 2^{113753325772200} is an apocalyptic number.

113753325772200 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 113753325772200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178072016902560).

113753325772200 is an abundant number, since it is smaller than the sum of its proper divisors (242390708032920).

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

113753325772200 is a wasteful number, since it uses less digits than its factorization.

113753325772200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91228 (or 91219 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 48.

The spelling of 113753325772200 in words is "one hundred thirteen trillion, seven hundred fifty-three billion, three hundred twenty-five million, seven hundred seventy-two thousand, two hundred".