113403410120 has 512 divisors, whose sum is σ = 356137205760. Its totient is φ = 31352832000.

The previous prime is 113403410047. The next prime is 113403410167. The reversal of 113403410120 is 21014304311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113403410092 and 113403410101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261901424 + ... + 261901856.

It is an arithmetic number, because the mean of its divisors is an integer number (695580480).

Almost surely, 2^113403410120 is an apocalyptic number.

113403410120 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 113403410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178068602880).

113403410120 is an abundant number, since it is smaller than the sum of its proper divisors (242733795640).

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

113403410120 is a wasteful number, since it uses less digits than its factorization.

113403410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 113403410120 its reverse (21014304311), we get a palindrome (134417714431).

The spelling of 113403410120 in words is "one hundred thirteen billion, four hundred three million, four hundred ten thousand, one hundred twenty".