113312121300 has 432 divisors, whose sum is σ = 431166153600. Its totient is φ = 24298168320.

The previous prime is 113312121281. The next prime is 113312121313. The reversal of 113312121300 is 3121213311.

113312121300 is a `hidden beast` number, since 11 + 331 + 2 + 1 + 21 + 300 = 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 143 ways as a sum of consecutive naturals, for example, 37162176 + ... + 37165224.

It is an arithmetic number, because the mean of its divisors is an integer number (998069800).

Almost surely, 2^113312121300 is an apocalyptic number.

113312121300 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 113312121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215583076800).

113312121300 is an abundant number, since it is smaller than the sum of its proper divisors (317854032300).

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

113312121300 is a wasteful number, since it uses less digits than its factorization.

113312121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3430 counting only the distinct ones).

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

Adding to 113312121300 its reverse (3121213311), we get a palindrome (116433334611).

The spelling of 113312121300 in words is "one hundred thirteen billion, three hundred twelve million, one hundred twenty-one thousand, three hundred".