13116 has 12 divisors (see below), whose sum is σ = 30632. Its totient is φ = 4368.

The previous prime is 13109. The next prime is 13121. The reversal of 13116 is 61131.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 1093 = 13116 / (1 + 3 + 1 + 1 + 6).

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

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 11 and base 12.

It is a zygodrome in base 2 and base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13116.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 535 + ... + 558.

2¹³¹¹⁶ is an apocalyptic number.

It is an amenable number.

13116 is an abundant number, since it is smaller than the sum of its proper divisors (17516).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15316).

13116 is a wasteful number, since it uses less digits than its factorization.

13116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1098 counting only the distinct ones).

The product of its digits is 18, while the sum is 12.

The square root of 13116 is about 114.5251064178. The cubic root of 13116 is about 23.5830770185.

Adding to 13116 its reverse (61131), we get a palindrome (74247).

The spelling of 13116 in words is "thirteen thousand, one hundred sixteen".