113301413940000 has 1920 divisors, whose sum is σ = 444224661205248. Its totient is φ = 24917114880000.

The previous prime is 113301413939983. The next prime is 113301413940031. The reversal of 113301413940000 is 49314103311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 113301413940000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 132826979574 + ... + 132826980426.

Almost surely, 2^{113301413940000} is an apocalyptic number.

113301413940000 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 113301413940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222112330602624).

113301413940000 is an abundant number, since it is smaller than the sum of its proper divisors (330923247265248).

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

113301413940000 is a wasteful number, since it uses less digits than its factorization.

113301413940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 113301413940000 in words is "one hundred thirteen trillion, three hundred one billion, four hundred thirteen million, nine hundred forty thousand".