113332000000 has 252 divisors, whose sum is σ = 292823204940. Its totient is φ = 43724800000.

The previous prime is 113331999983. The next prime is 113332000013. The reversal of 113332000000 is 233311.

It can be written as a sum of positive squares in 14 ways, for example, as 110830399744 + 2501600256 = 332912^2 + 50016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 115999512 + ... + 116000488.

It is an arithmetic number, because the mean of its divisors is an integer number (1161996845).

Almost surely, 2^113332000000 is an apocalyptic number.

113332000000 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 113332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146411602470).

113332000000 is an abundant number, since it is smaller than the sum of its proper divisors (179491204940).

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

113332000000 is an frugal number, since it uses more digits than its factorization.

113332000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 113332000000 its reverse (233311), we get a palindrome (113332233311).

The spelling of 113332000000 in words is "one hundred thirteen billion, three hundred thirty-two million", and thus it is an aban number.