113313101200200 has 288 divisors, whose sum is σ = 415483745508000. Its totient is φ = 27446964480000.

The previous prime is 113313101200141. The next prime is 113313101200217. The reversal of 113313101200200 is 2002101313311.

113313101200200 is a `hidden beast` number, since 1 + 1 + 3 + 31 + 310 + 120 + 0 + 200 = 666.

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 71 ways as a sum of consecutive naturals, for example, 21397251 + ... + 26162349.

It is an arithmetic number, because the mean of its divisors is an integer number (1442651894125).

Almost surely, 2^{113313101200200} is an apocalyptic number.

113313101200200 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 113313101200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207741872754000).

113313101200200 is an abundant number, since it is smaller than the sum of its proper divisors (302170644307800).

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

113313101200200 is a wasteful number, since it uses less digits than its factorization.

113313101200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766333 (or 4766321 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113313101200200 its reverse (2002101313311), we get a palindrome (115315202513511).

The spelling of 113313101200200 in words is "one hundred thirteen trillion, three hundred thirteen billion, one hundred one million, two hundred thousand, two hundred".