113300224224 has 384 divisors, whose sum is σ = 363026603520. Its totient is φ = 30493900800.

The previous prime is 113300224217. The next prime is 113300224229. The reversal of 113300224224 is 422422003311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 113300224194 and 113300224203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113300224229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120403594 + ... + 120404534.

It is an arithmetic number, because the mean of its divisors is an integer number (945381780).

Almost surely, 2^113300224224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113300224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181513301760).

113300224224 is an abundant number, since it is smaller than the sum of its proper divisors (249726379296).

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

113300224224 is a wasteful number, since it uses less digits than its factorization.

113300224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 113300224224 its reverse (422422003311), we get a palindrome (535722227535).

The spelling of 113300224224 in words is "one hundred thirteen billion, three hundred million, two hundred twenty-four thousand, two hundred twenty-four".