113100200200 has 192 divisors, whose sum is σ = 286086220560. Its totient is φ = 41334865920.

The previous prime is 113100200177. The next prime is 113100200249. The reversal of 113100200200 is 2002001311.

It can be written as a sum of positive squares in 24 ways, for example, as 243172836 + 112857027364 = 15594^2 + 335942^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 128962162 + ... + 128963038.

Almost surely, 2^113100200200 is an apocalyptic number.

113100200200 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 113100200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143043110280).

113100200200 is an abundant number, since it is smaller than the sum of its proper divisors (172986020360).

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

113100200200 is a wasteful number, since it uses less digits than its factorization.

113100200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 113100200200 its reverse (2002001311), we get a palindrome (115102201511).

The spelling of 113100200200 in words is "one hundred thirteen billion, one hundred million, two hundred thousand, two hundred".