113112100200 has 384 divisors, whose sum is σ = 400718638080. Its totient is φ = 26126284800.

The previous prime is 113112100183. The next prime is 113112100217. The reversal of 113112100200 is 2001211311.

It is an interprime number because it is at equal distance from previous prime (113112100183) and next prime (113112100217).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42958084 + ... + 42960716.

It is an arithmetic number, because the mean of its divisors is an integer number (1043538120).

Almost surely, 2^113112100200 is an apocalyptic number.

113112100200 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 113112100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200359319040).

113112100200 is an abundant number, since it is smaller than the sum of its proper divisors (287606537880).

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

113112100200 is a wasteful number, since it uses less digits than its factorization.

113112100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2960 counting only the distinct ones).

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

Adding to 113112100200 its reverse (2001211311), we get a palindrome (115113311511).

Subtracting from 113112100200 its reverse (2001211311), we obtain a square (111110888889 = 333333²).

It can be divided in two parts, 113112 and 100200, that added together give a palindrome (213312).

The spelling of 113112100200 in words is "one hundred thirteen billion, one hundred twelve million, one hundred thousand, two hundred".