113135022000 has 2880 divisors, whose sum is σ = 581118520320. Its totient is φ = 20756736000.

The previous prime is 113135021921. The next prime is 113135022037. The reversal of 113135022000 is 220531311.

113135022000 is a `hidden beast` number, since 113 + 1 + 350 + 2 + 200 + 0 = 666.

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

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 4918913989 + ... + 4918914011.

It is an arithmetic number, because the mean of its divisors is an integer number (201777264).

Almost surely, 2^113135022000 is an apocalyptic number.

113135022000 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 113135022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290559260160).

113135022000 is an abundant number, since it is smaller than the sum of its proper divisors (467983498320).

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

113135022000 is a wasteful number, since it uses less digits than its factorization.

113135022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 113135022000 its reverse (220531311), we get a palindrome (113355553311).

The spelling of 113135022000 in words is "one hundred thirteen billion, one hundred thirty-five million, twenty-two thousand".