113331150400000 has 480 divisors, whose sum is σ = 312241462361136. Its totient is φ = 40824422400000.

The previous prime is 113331150399827. The next prime is 113331150400003. The reversal of 113331150400000 is 4051133311.

It can be written as a sum of positive squares in 24 ways, for example, as 107552165181696 + 5778985218304 = 10370736^2 + 2403952^2 .

It is not an unprimeable number, because it can be changed into a prime (113331150400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 852733554 + ... + 852866446.

Almost surely, 2^{113331150400000} is an apocalyptic number.

113331150400000 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 113331150400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156120731180568).

113331150400000 is an abundant number, since it is smaller than the sum of its proper divisors (198910311961136).

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

113331150400000 is an frugal number, since it uses more digits than its factorization.

113331150400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132990 (or 132954 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The spelling of 113331150400000 in words is "one hundred thirteen trillion, three hundred thirty-one billion, one hundred fifty million, four hundred thousand".