113331111300 has 432 divisors, whose sum is σ = 402454241280. Its totient is φ = 26426592000.

The previous prime is 113331111263. The next prime is 113331111323. The reversal of 113331111300 is 3111133311.

113331111300 is a `hidden beast` number, since 11 + 33 + 311 + 11 + 300 = 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 143 ways as a sum of consecutive naturals, for example, 54934069 + ... + 54936131.

It is an arithmetic number, because the mean of its divisors is an integer number (931607040).

Almost surely, 2^113331111300 is an apocalyptic number.

113331111300 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 113331111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201227120640).

113331111300 is an abundant number, since it is smaller than the sum of its proper divisors (289123129980).

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

113331111300 is a wasteful number, since it uses less digits than its factorization.

113331111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 113331111300 its reverse (3111133311), we get a palindrome (116442244611).

The spelling of 113331111300 in words is "one hundred thirteen billion, three hundred thirty-one million, one hundred eleven thousand, three hundred".