113113113032100 has 144 divisors (see below), whose sum is σ = 346562999798400. Its totient is φ = 28386088888320.

The previous prime is 113113113032047. The next prime is 113113113032123. The reversal of 113113113032100 is 1230311311311.

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, 45918606 + ... + 48319194.

It is an arithmetic number, because the mean of its divisors is an integer number (2406687498600).

Almost surely, 2^{113113113032100} is an apocalyptic number.

113113113032100 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 113113113032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173281499899200).

113113113032100 is an abundant number, since it is smaller than the sum of its proper divisors (233449886766300).

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

113113113032100 is a wasteful number, since it uses less digits than its factorization.

113113113032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409862 (or 2409855 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 113113113032100 its reverse (1230311311311), we get a palindrome (114343424343411).

The spelling of 113113113032100 in words is "one hundred thirteen trillion, one hundred thirteen billion, one hundred thirteen million, thirty-two thousand, one hundred".