113100211200 has 264 divisors, whose sum is σ = 395795015712. Its totient is φ = 28385607680.

The previous prime is 113100211181. The next prime is 113100211267. The reversal of 113100211200 is 2112001311.

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 23 ways as a sum of consecutive naturals, for example, 1262287 + ... + 1348913.

Almost surely, 2^113100211200 is an apocalyptic number.

113100211200 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 113100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197897507856).

113100211200 is an abundant number, since it is smaller than the sum of its proper divisors (282694804512).

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

113100211200 is a wasteful number, since it uses less digits than its factorization.

113100211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86677 (or 86654 counting only the distinct ones).

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

Adding to 113100211200 its reverse (2112001311), we get a palindrome (115212212511).

The spelling of 113100211200 in words is "one hundred thirteen billion, one hundred million, two hundred eleven thousand, two hundred".