113110320000 has 640 divisors, whose sum is σ = 405014353920. Its totient is φ = 27878400000.

The previous prime is 113110319947. The next prime is 113110320019. The reversal of 113110320000 is 23011311.

113110320000 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 (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 171119670 + ... + 171120330.

It is an arithmetic number, because the mean of its divisors is an integer number (632834928).

Almost surely, 2^113110320000 is an apocalyptic number.

113110320000 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 113110320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202507176960).

113110320000 is an abundant number, since it is smaller than the sum of its proper divisors (291904033920).

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

113110320000 is an equidigital number, since it uses as much as digits as its factorization.

113110320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 113110320000 its reverse (23011311), we get a palindrome (113133331311).

The spelling of 113110320000 in words is "one hundred thirteen billion, one hundred ten million, three hundred twenty thousand".