113103120032224 has 192 divisors, whose sum is σ = 261779694220800. Its totient is φ = 47087010367488.

The previous prime is 113103120032191. The next prime is 113103120032267. The reversal of 113103120032224 is 422230021301311.

It is a super-2 number, since 2×113103120032224² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15474496282 + ... + 15474503590.

It is an arithmetic number, because the mean of its divisors is an integer number (1363435907400).

Almost surely, 2^{113103120032224} is an apocalyptic number.

113103120032224 is a gapful number since it is divisible by the number (14) 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 113103120032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130889847110400).

113103120032224 is an abundant number, since it is smaller than the sum of its proper divisors (148676574188576).

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

113103120032224 is a wasteful number, since it uses less digits than its factorization.

113103120032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105 (or 10097 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 113103120032224 its reverse (422230021301311), we get a palindrome (535333141333535).

The spelling of 113103120032224 in words is "one hundred thirteen trillion, one hundred three billion, one hundred twenty million, thirty-two thousand, two hundred twenty-four".