113333220000000 has 6912 divisors, whose sum is σ = 596373798279168. Its totient is φ = 19906560000000.

The previous prime is 113333219999957. The next prime is 113333220000059. The reversal of 113333220000000 is 22333311.

113333220000000 is a `hidden beast` number, since 1 + 133 + 332 + 200 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3063059999982 + ... + 3063060000018.

It is an arithmetic number, because the mean of its divisors is an integer number (86280931464).

Almost surely, 2^{113333220000000} is an apocalyptic number.

113333220000000 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 113333220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298186899139584).

113333220000000 is an abundant number, since it is smaller than the sum of its proper divisors (483040578279168).

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

113333220000000 is an equidigital number, since it uses as much as digits as its factorization.

113333220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 95 counting only the distinct ones).

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

Adding to 113333220000000 its reverse (22333311), we get a palindrome (113333242333311).

The spelling of 113333220000000 in words is "one hundred thirteen trillion, three hundred thirty-three billion, two hundred twenty million", and thus it is an aban number.