113073891828128 has 288 divisors, whose sum is σ = 286163492025600. Its totient is φ = 43483978137600.

The previous prime is 113073891828127. The next prime is 113073891828137. The reversal of 113073891828128 is 821828198370311.

It is not an unprimeable number, because it can be changed into a prime (113073891828127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5353613408 + ... + 5353634528.

It is an arithmetic number, because the mean of its divisors is an integer number (993623236200).

Almost surely, 2^{113073891828128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113073891828128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143081746012800).

113073891828128 is an abundant number, since it is smaller than the sum of its proper divisors (173089600197472).

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

113073891828128 is a wasteful number, since it uses less digits than its factorization.

113073891828128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25164 (or 25149 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 62.

The spelling of 113073891828128 in words is "one hundred thirteen trillion, seventy-three billion, eight hundred ninety-one million, eight hundred twenty-eight thousand, one hundred twenty-eight".