113001133020 has 192 divisors, whose sum is σ = 333082036224. Its totient is φ = 28569502720.

The previous prime is 113001133013. The next prime is 113001133057. The reversal of 113001133020 is 20331100311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120085750 + ... + 120086690.

It is an arithmetic number, because the mean of its divisors is an integer number (1734802272).

Almost surely, 2^113001133020 is an apocalyptic number.

113001133020 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 113001133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166541018112).

113001133020 is an abundant number, since it is smaller than the sum of its proper divisors (220080903204).

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

113001133020 is a wasteful number, since it uses less digits than its factorization.

113001133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 113001133020 its reverse (20331100311), we get a palindrome (133332233331).

The spelling of 113001133020 in words is "one hundred thirteen billion, one million, one hundred thirty-three thousand, twenty".