113332111200 has 576 divisors, whose sum is σ = 511032291840. Its totient is φ = 23549184000.

The previous prime is 113332111171. The next prime is 113332111201. The reversal of 113332111200 is 2111233311.

113332111200 is a `hidden beast` number, since 1 + 1 + 333 + 211 + 120 + 0 = 666.

113332111200 is digitally balanced in base 3, 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 not an unprimeable number, because it can be changed into a prime (113332111201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1629130 + ... + 1697270.

It is an arithmetic number, because the mean of its divisors is an integer number (887208840).

Almost surely, 2^113332111200 is an apocalyptic number.

113332111200 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 113332111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255516145920).

113332111200 is an abundant number, since it is smaller than the sum of its proper divisors (397700180640).

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

113332111200 is a wasteful number, since it uses less digits than its factorization.

113332111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68188 (or 68169 counting only the distinct ones).

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

Adding to 113332111200 its reverse (2111233311), we get a palindrome (115443344511).

The spelling of 113332111200 in words is "one hundred thirteen billion, three hundred thirty-two million, one hundred eleven thousand, two hundred".