113321302200 has 288 divisors, whose sum is σ = 392473317600. Its totient is φ = 29283840000.

The previous prime is 113321302163. The next prime is 113321302229. The reversal of 113321302200 is 2203123311.

113321302200 is a `hidden beast` number, since 1 + 1 + 332 + 130 + 2 + 200 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11138716 + ... + 11148884.

It is an arithmetic number, because the mean of its divisors is an integer number (1362754575).

Almost surely, 2^113321302200 is an apocalyptic number.

113321302200 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 113321302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196236658800).

113321302200 is an abundant number, since it is smaller than the sum of its proper divisors (279152015400).

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

113321302200 is a wasteful number, since it uses less digits than its factorization.

113321302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10371 counting only the distinct ones).

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

Adding to 113321302200 its reverse (2203123311), we get a palindrome (115524425511).

The spelling of 113321302200 in words is "one hundred thirteen billion, three hundred twenty-one million, three hundred two thousand, two hundred".