113002313200 has 120 divisors (see below), whose sum is σ = 310374554400. Its totient is φ = 38730854400.

The previous prime is 113002313167. The next prime is 113002313209. The reversal of 113002313200 is 2313200311.

113002313200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113002313209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13012860 + ... + 13021540.

It is an arithmetic number, because the mean of its divisors is an integer number (2586454620).

Almost surely, 2^113002313200 is an apocalyptic number.

113002313200 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 113002313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155187277200).

113002313200 is an abundant number, since it is smaller than the sum of its proper divisors (197372241200).

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

113002313200 is a wasteful number, since it uses less digits than its factorization.

113002313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13355 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 113002313200 its reverse (2313200311), we get a palindrome (115315513511).

The spelling of 113002313200 in words is "one hundred thirteen billion, two million, three hundred thirteen thousand, two hundred".