113000333323020 has 288 divisors, whose sum is σ = 373798605164544. Its totient is φ = 25284052684800.

The previous prime is 113000333323013. The next prime is 113000333323021. The reversal of 113000333323020 is 20323333000311.

It is a super-2 number, since 2×113000333323020² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113000333323021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1136877525 + ... + 1136976915.

It is an arithmetic number, because the mean of its divisors is an integer number (1297911823488).

Almost surely, 2^{113000333323020} is an apocalyptic number.

113000333323020 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 113000333323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186899302582272).

113000333323020 is an abundant number, since it is smaller than the sum of its proper divisors (260798271841524).

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

113000333323020 is a wasteful number, since it uses less digits than its factorization.

113000333323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109633 (or 109618 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 113000333323020 its reverse (20323333000311), we get a palindrome (133323666323331).

The spelling of 113000333323020 in words is "one hundred thirteen trillion, three hundred thirty-three million, three hundred twenty-three thousand, twenty".