113200001122320 has 640 divisors, whose sum is σ = 450203629409280. Its totient is φ = 25607920435200.

The previous prime is 113200001122301. The next prime is 113200001122331. The reversal of 113200001122320 is 23221100002311.

113200001122320 is a `hidden beast` number, since 1 + 1 + 320 + 0 + 0 + 0 + 1 + 1 + 22 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113200001122293 and 113200001122302.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4240798894 + ... + 4240825586.

It is an arithmetic number, because the mean of its divisors is an integer number (703443170952).

Almost surely, 2^{113200001122320} is an apocalyptic number.

113200001122320 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 113200001122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225101814704640).

113200001122320 is an abundant number, since it is smaller than the sum of its proper divisors (337003628286960).

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

113200001122320 is a wasteful number, since it uses less digits than its factorization.

113200001122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29600 (or 29588 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113200001122320 its reverse (23221100002311), we get a palindrome (136421101124631).

The spelling of 113200001122320 in words is "one hundred thirteen trillion, two hundred billion, one million, one hundred twenty-two thousand, three hundred twenty".