113513180748 has 384 divisors, whose sum is σ = 321238794240. Its totient is φ = 30844800000.

The previous prime is 113513180747. The next prime is 113513180761. The reversal of 113513180748 is 847081315311.

113513180748 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (113513180743) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 452243623 + ... + 452243873.

It is an arithmetic number, because the mean of its divisors is an integer number (836559360).

Almost surely, 2^113513180748 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 113513180748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160619397120).

113513180748 is an abundant number, since it is smaller than the sum of its proper divisors (207725613492).

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

113513180748 is a wasteful number, since it uses less digits than its factorization.

113513180748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 113513180748 in words is "one hundred thirteen billion, five hundred thirteen million, one hundred eighty thousand, seven hundred forty-eight".