113131102200 has 192 divisors, whose sum is σ = 354515166720. Its totient is φ = 29842176000.

The previous prime is 113131102187. The next prime is 113131102207. The reversal of 113131102200 is 2201131311.

It is a happy number.

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 113131102200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131102207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26486065 + ... + 26490335.

It is an arithmetic number, because the mean of its divisors is an integer number (1846433160).

Almost surely, 2^113131102200 is an apocalyptic number.

113131102200 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 113131102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177257583360).

113131102200 is an abundant number, since it is smaller than the sum of its proper divisors (241384064520).

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

113131102200 is a wasteful number, since it uses less digits than its factorization.

113131102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113131102200 its reverse (2201131311), we get a palindrome (115332233511).

The spelling of 113131102200 in words is "one hundred thirteen billion, one hundred thirty-one million, one hundred two thousand, two hundred".