113100313200 has 960 divisors, whose sum is σ = 468690001920. Its totient is φ = 22708224000.

The previous prime is 113100313189. The next prime is 113100313237. The reversal of 113100313200 is 2313001311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113100313200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128376760 + ... + 128377640.

It is an arithmetic number, because the mean of its divisors is an integer number (488218752).

Almost surely, 2^113100313200 is an apocalyptic number.

113100313200 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 113100313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234345000960).

113100313200 is an abundant number, since it is smaller than the sum of its proper divisors (355589688720).

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

113100313200 is a wasteful number, since it uses less digits than its factorization.

113100313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 113100313200 its reverse (2313001311), we get a palindrome (115413314511).

The spelling of 113100313200 in words is "one hundred thirteen billion, one hundred million, three hundred thirteen thousand, two hundred".