113233132000 has 96 divisors (see below), whose sum is σ = 278819259264. Its totient is φ = 45194688000.

The previous prime is 113233131989. The next prime is 113233132031. The reversal of 113233132000 is 231332311.

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 15 ways as a sum of consecutive naturals, for example, 1821430 + ... + 1882570.

It is an arithmetic number, because the mean of its divisors is an integer number (2904367284).

Almost surely, 2^113233132000 is an apocalyptic number.

113233132000 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 113233132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139409629632).

113233132000 is an abundant number, since it is smaller than the sum of its proper divisors (165586127264).

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

113233132000 is an equidigital number, since it uses as much as digits as its factorization.

113233132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61629 (or 61611 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 113233132000 its reverse (231332311), we get a palindrome (113464464311).

The spelling of 113233132000 in words is "one hundred thirteen billion, two hundred thirty-three million, one hundred thirty-two thousand".