113120002313200 has 240 divisors, whose sum is σ = 280491204913920. Its totient is φ = 43819937280000.

The previous prime is 113120002313191. The next prime is 113120002313221. The reversal of 113120002313200 is 2313200021311.

It is a super-2 number, since 2×113120002313200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2173227175 + ... + 2173279225.

It is an arithmetic number, because the mean of its divisors is an integer number (1168713353808).

Almost surely, 2^{113120002313200} is an apocalyptic number.

113120002313200 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 113120002313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140245602456960).

113120002313200 is an abundant number, since it is smaller than the sum of its proper divisors (167371202600720).

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

113120002313200 is a wasteful number, since it uses less digits than its factorization.

113120002313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53496 (or 53485 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 113120002313200 its reverse (2313200021311), we get a palindrome (115433202334511).

The spelling of 113120002313200 in words is "one hundred thirteen trillion, one hundred twenty billion, two million, three hundred thirteen thousand, two hundred".