113030380800 has 324 divisors, whose sum is σ = 419081892320. Its totient is φ = 30141020160.

The previous prime is 113030380789. The next prime is 113030380819. The reversal of 113030380800 is 8083030311.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-3 number, since 3×113030380800³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1518861 + ... + 1591539.

Almost surely, 2^113030380800 is an apocalyptic number.

113030380800 is a gapful number since it is divisible by the number (10) 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 113030380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209540946160).

113030380800 is an abundant number, since it is smaller than the sum of its proper divisors (306051511520).

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

113030380800 is an frugal number, since it uses more digits than its factorization.

113030380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72720 (or 72689 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 113030380800 in words is "one hundred thirteen billion, thirty million, three hundred eighty thousand, eight hundred".