113180100526080 has 2520 divisors, whose sum is σ = 487504962973392. Its totient is φ = 25170555174912.

The previous prime is 113180100526063. The next prime is 113180100526231. The reversal of 113180100526080 is 80625001081311.

113180100526080 is a `hidden beast` number, since 1 + 1 + 31 + 8 + 0 + 10 + 0 + 5 + 2 + 608 + 0 = 666.

113180100526080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 3058921635822 + ... + 3058921635858.

Almost surely, 2^{113180100526080} is an apocalyptic number.

113180100526080 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 113180100526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243752481486696).

113180100526080 is an abundant number, since it is smaller than the sum of its proper divisors (374324862447312).

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

113180100526080 is an frugal number, since it uses more digits than its factorization.

113180100526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 113180100526080 in words is "one hundred thirteen trillion, one hundred eighty billion, one hundred million, five hundred twenty-six thousand, eighty".