113398091513316 has 567 divisors, whose sum is σ = 320281449129369. Its totient is φ = 35109527210496.

The previous prime is 113398091513303. The next prime is 113398091513327. The reversal of 113398091513316 is 613315190893311.

The square root of 113398091513316 is 10648854.

It is a perfect power (a square), and thus also a powerful number.

113398091513316 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 9 + 8 + 0 + 91 + 513 + 31 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50920069788900 + 62478021724416 = 7135830^2 + 7904304^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1059795247735 + ... + 1059795247841.

Almost surely, 2^{113398091513316} is an apocalyptic number.

113398091513316 is the 10648854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113398091513316

113398091513316 is an abundant number, since it is smaller than the sum of its proper divisors (206883357616053).

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

113398091513316 is an frugal number, since it uses more digits than its factorization.

113398091513316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 113398091513316 in words is "one hundred thirteen trillion, three hundred ninety-eight billion, ninety-one million, five hundred thirteen thousand, three hundred sixteen".