113323062819600 has 960 divisors, whose sum is σ = 441146050560000. Its totient is φ = 27505839513600.

The previous prime is 113323062819587. The next prime is 113323062819619. The reversal of 113323062819600 is 6918260323311.

113323062819600 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 2 + 3 + 0 + 6 + 28 + 19 + 600 = 666.

113323062819600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9670022541 + ... + 9670034259.

It is an arithmetic number, because the mean of its divisors is an integer number (459527136000).

Almost surely, 2^{113323062819600} is an apocalyptic number.

113323062819600 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 113323062819600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220573025280000).

113323062819600 is an abundant number, since it is smaller than the sum of its proper divisors (327822987740400).

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

113323062819600 is a wasteful number, since it uses less digits than its factorization.

113323062819600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13493 (or 13476 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 113323062819600 in words is "one hundred thirteen trillion, three hundred twenty-three billion, sixty-two million, eight hundred nineteen thousand, six hundred".