113322011110200 has 240 divisors, whose sum is σ = 393839297113680. Its totient is φ = 30199611594240.

The previous prime is 113322011110183. The next prime is 113322011110289. The reversal of 113322011110200 is 2011110223311.

113322011110200 is a `hidden beast` number, since 1 + 1 + 332 + 20 + 1 + 1 + 110 + 200 = 666.

113322011110200 is digitally balanced in base 4, 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 (18).

It is a congruent number.

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, 22729852 + ... + 27263348.

It is an arithmetic number, because the mean of its divisors is an integer number (1640997071307).

Almost surely, 2^{113322011110200} is an apocalyptic number.

113322011110200 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 113322011110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196919648556840).

113322011110200 is an abundant number, since it is smaller than the sum of its proper divisors (280517286003480).

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

113322011110200 is a wasteful number, since it uses less digits than its factorization.

113322011110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535068 (or 4535050 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113322011110200 its reverse (2011110223311), we get a palindrome (115333121333511).

The spelling of 113322011110200 in words is "one hundred thirteen trillion, three hundred twenty-two billion, eleven million, one hundred ten thousand, two hundred".