113071575020416 has 256 divisors, whose sum is σ = 240888511180800. Its totient is φ = 52682994155520.

The previous prime is 113071575020401. The next prime is 113071575020441. The reversal of 113071575020416 is 614020575170311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139767088620 + ... + 139767089428.

It is an arithmetic number, because the mean of its divisors is an integer number (940970746800).

Almost surely, 2^{113071575020416} is an apocalyptic number.

113071575020416 is a gapful number since it is divisible by the number (16) 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 113071575020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120444255590400).

113071575020416 is an abundant number, since it is smaller than the sum of its proper divisors (127816936160384).

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

113071575020416 is a wasteful number, since it uses less digits than its factorization.

113071575020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The spelling of 113071575020416 in words is "one hundred thirteen trillion, seventy-one billion, five hundred seventy-five million, twenty thousand, four hundred sixteen".