113100200112 has 160 divisors (see below), whose sum is σ = 305260462080. Its totient is φ = 36043188480.

The previous prime is 113100200111. The next prime is 113100200113. The reversal of 113100200112 is 211002001311.

It is an interprime number because it is at equal distance from previous prime (113100200111) and next prime (113100200113).

It is a super-4 number, since 4×113100200112⁴ (a number of 45 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (113100200111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76263723 + ... + 76265205.

It is an arithmetic number, because the mean of its divisors is an integer number (1907877888).

Almost surely, 2^113100200112 is an apocalyptic number.

113100200112 is a gapful number since it is divisible by the number (12) 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 113100200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152630231040).

113100200112 is an abundant number, since it is smaller than the sum of its proper divisors (192160261968).

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

113100200112 is a wasteful number, since it uses less digits than its factorization.

113100200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2105 counting only the distinct ones).

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

Adding to 113100200112 its reverse (211002001311), we get a palindrome (324102201423).

The spelling of 113100200112 in words is "one hundred thirteen billion, one hundred million, two hundred thousand, one hundred twelve".