113133010320000 has 1920 divisors, whose sum is σ = 480850423859520. Its totient is φ = 25211289600000.

The previous prime is 113133010319929. The next prime is 113133010320041. The reversal of 113133010320000 is 23010331311.

It is a happy number.

113133010320000 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 330 + 10 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5789510230 + ... + 5789529770.

Almost surely, 2^{113133010320000} is an apocalyptic number.

113133010320000 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 113133010320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240425211929760).

113133010320000 is an abundant number, since it is smaller than the sum of its proper divisors (367717413539520).

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

113133010320000 is a wasteful number, since it uses less digits than its factorization.

113133010320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19652 (or 19622 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113133010320000 its reverse (23010331311), we get a palindrome (113156020651311).

The spelling of 113133010320000 in words is "one hundred thirteen trillion, one hundred thirty-three billion, ten million, three hundred twenty thousand".