113316 has 48 divisors (see below), whose sum is σ = 322560. Its totient is φ = 30240.

The previous prime is 113287. The next prime is 113327. The reversal of 113316 is 613311.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113295 and 113304.

It is a congruent number.

It is an unprimeable number.

113316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2¹¹³³¹⁶ 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 113316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

113316 is an abundant number, since it is smaller than the sum of its proper divisors (209244).

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

113316 is a wasteful number, since it uses less digits than its factorization.

113316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its digits is 54, while the sum is 15.

The square root of 113316 is about 336.6244197916. The cubic root of 113316 is about 48.3909051053.

Adding to 113316 its reverse (613311), we get a palindrome (726627).

The spelling of 113316 in words is "one hundred thirteen thousand, three hundred sixteen".