113121344042112 has 512 divisors, whose sum is σ = 352052951040000. Its totient is φ = 31515669319680.

The previous prime is 113121344042107. The next prime is 113121344042177. The reversal of 113121344042112 is 211240443121311.

It is a self number, because there is not a number n which added to its sum of digits gives 113121344042112.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41421215787 + ... + 41421218517.

It is an arithmetic number, because the mean of its divisors is an integer number (687603420000).

Almost surely, 2^{113121344042112} is an apocalyptic number.

113121344042112 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 113121344042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176026475520000).

113121344042112 is an abundant number, since it is smaller than the sum of its proper divisors (238931606997888).

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

113121344042112 is a wasteful number, since it uses less digits than its factorization.

113121344042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 113121344042112 its reverse (211240443121311), we get a palindrome (324361787163423).

The spelling of 113121344042112 in words is "one hundred thirteen trillion, one hundred twenty-one billion, three hundred forty-four million, forty-two thousand, one hundred twelve".