113701360721088 has 224 divisors, whose sum is σ = 358778779259904. Its totient is φ = 31072000278528.

The previous prime is 113701360721087. The next prime is 113701360721141. The reversal of 113701360721088 is 880127063107311.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (113701360721087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645880056 + ... + 646056072.

Almost surely, 2^{113701360721088} 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 113701360721088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179389389629952).

113701360721088 is an abundant number, since it is smaller than the sum of its proper divisors (245077418538816).

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

113701360721088 is a wasteful number, since it uses less digits than its factorization.

113701360721088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196959 (or 196949 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 113701360721088 in words is "one hundred thirteen trillion, seven hundred one billion, three hundred sixty million, seven hundred twenty-one thousand, eighty-eight".