113811328000 has 352 divisors, whose sum is σ = 303309197568. Its totient is φ = 42467328000.

The previous prime is 113811327941. The next prime is 113811328027. The reversal of 113811328000 is 823118311.

It is a super-2 number, since 2×113811328000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113811328000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419967865 + ... + 419968135.

Almost surely, 2^113811328000 is an apocalyptic number.

113811328000 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 113811328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151654598784).

113811328000 is an abundant number, since it is smaller than the sum of its proper divisors (189497869568).

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

113811328000 is a wasteful number, since it uses less digits than its factorization.

113811328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 113811328000 in words is "one hundred thirteen billion, eight hundred eleven million, three hundred twenty-eight thousand".