113313132330000 has 800 divisors, whose sum is σ = 396423243955200. Its totient is φ = 27784145664000.

The previous prime is 113313132329959. The next prime is 113313132330031. The reversal of 113313132330000 is 33231313311.

113313132330000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8836703589 + ... + 8836716411.

It is an arithmetic number, because the mean of its divisors is an integer number (495529054944).

Almost surely, 2^{113313132330000} is an apocalyptic number.

113313132330000 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 113313132330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198211621977600).

113313132330000 is an abundant number, since it is smaller than the sum of its proper divisors (283110111625200).

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

113313132330000 is a wasteful number, since it uses less digits than its factorization.

113313132330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13329 (or 13308 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 113313132330000 its reverse (33231313311), we get a palindrome (113346363643311).

The spelling of 113313132330000 in words is "one hundred thirteen trillion, three hundred thirteen billion, one hundred thirty-two million, three hundred thirty thousand".