113320312200 has 240 divisors, whose sum is σ = 395014734180. Its totient is φ = 30108464640.

The previous prime is 113320312199. The next prime is 113320312241. The reversal of 113320312200 is 2213023311.

113320312200 is a `hidden beast` number, since 1 + 1 + 332 + 0 + 312 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 52695038916 + 60625273284 = 229554^2 + 246222^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4474774 + ... + 4500026.

Almost surely, 2^113320312200 is an apocalyptic number.

113320312200 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 113320312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197507367090).

113320312200 is an abundant number, since it is smaller than the sum of its proper divisors (281694421980).

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

113320312200 is a wasteful number, since it uses less digits than its factorization.

113320312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25558 (or 25540 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113320312200 its reverse (2213023311), we get a palindrome (115533335511).

The spelling of 113320312200 in words is "one hundred thirteen billion, three hundred twenty million, three hundred twelve thousand, two hundred".