113306082120 has 640 divisors, whose sum is σ = 491210438400. Its totient is φ = 22730803200.

The previous prime is 113306082119. The next prime is 113306082121. The reversal of 113306082120 is 21280603311.

It is a happy number.

113306082120 is a `hidden beast` number, since 1 + 1 + 3 + 30 + 608 + 2 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (113306082119) and next prime (113306082121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113306082121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7227090 + ... + 7242750.

It is an arithmetic number, because the mean of its divisors is an integer number (767516310).

Almost surely, 2^113306082120 is an apocalyptic number.

113306082120 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 113306082120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245605219200).

113306082120 is an abundant number, since it is smaller than the sum of its proper divisors (377904356280).

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

113306082120 is a wasteful number, since it uses less digits than its factorization.

113306082120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15731 (or 15718 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 113306082120 its reverse (21280603311), we get a palindrome (134586685431).

The spelling of 113306082120 in words is "one hundred thirteen billion, three hundred six million, eighty-two thousand, one hundred twenty".