113213203200 has 432 divisors, whose sum is σ = 417099866400. Its totient is φ = 30047846400.

The previous prime is 113213203189. The next prime is 113213203261. The reversal of 113213203200 is 2302312311.

113213203200 is a `hidden beast` number, since 1 + 1 + 3 + 21 + 320 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 39569770 + ... + 39572630.

It is an arithmetic number, because the mean of its divisors is an integer number (965508950).

Almost surely, 2^113213203200 is an apocalyptic number.

113213203200 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 113213203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208549933200).

113213203200 is an abundant number, since it is smaller than the sum of its proper divisors (303886663200).

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

113213203200 is a wasteful number, since it uses less digits than its factorization.

113213203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3100 counting only the distinct ones).

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

Adding to 113213203200 its reverse (2302312311), we get a palindrome (115515515511).

The spelling of 113213203200 in words is "one hundred thirteen billion, two hundred thirteen million, two hundred three thousand, two hundred".