113303232000 has 2560 divisors, whose sum is σ = 551536128000. Its totient is φ = 22295347200.

The previous prime is 113303231933. The next prime is 113303232011. The reversal of 113303232000 is 232303311.

113303232000 is a `hidden beast` number, since 11 + 330 + 3 + 2 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3907007986 + ... + 3907008014.

It is an arithmetic number, because the mean of its divisors is an integer number (215443800).

Almost surely, 2^113303232000 is an apocalyptic number.

113303232000 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 113303232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275768064000).

113303232000 is an abundant number, since it is smaller than the sum of its proper divisors (438232896000).

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

113303232000 is a wasteful number, since it uses less digits than its factorization.

113303232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 113303232000 its reverse (232303311), we get a palindrome (113535535311).

The spelling of 113303232000 in words is "one hundred thirteen billion, three hundred three million, two hundred thirty-two thousand".