113505242513120 has 96 divisors (see below), whose sum is σ = 284004320681088. Its totient is φ = 42720204054528.

The previous prime is 113505242513087. The next prime is 113505242513197. The reversal of 113505242513120 is 21315242505311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4940822 + ... + 15856298.

It is an arithmetic number, because the mean of its divisors is an integer number (2958378340428).

Almost surely, 2^{113505242513120} is an apocalyptic number.

113505242513120 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 113505242513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142002160340544).

113505242513120 is an abundant number, since it is smaller than the sum of its proper divisors (170499078167968).

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

113505242513120 is a wasteful number, since it uses less digits than its factorization.

113505242513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10919332 (or 10919324 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 113505242513120 in words is "one hundred thirteen trillion, five hundred five billion, two hundred forty-two million, five hundred thirteen thousand, one hundred twenty".