113118642000 has 960 divisors, whose sum is σ = 495814265856. Its totient is φ = 23398502400.

The previous prime is 113118641963. The next prime is 113118642011. The reversal of 113118642000 is 246811311.

It is a happy number.

113118642000 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 18 + 642 + 0 + 0 + 0 = 666.

113118642000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86813349 + ... + 86814651.

Almost surely, 2^113118642000 is an apocalyptic number.

113118642000 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 113118642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247907132928).

113118642000 is an abundant number, since it is smaller than the sum of its proper divisors (382695623856).

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

113118642000 is a wasteful number, since it uses less digits than its factorization.

113118642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 113118642000 in words is "one hundred thirteen billion, one hundred eighteen million, six hundred forty-two thousand".