11316 has 24 divisors (see below), whose sum is σ = 28224. Its totient is φ = 3520.

The previous prime is 11311. The next prime is 11317. The reversal of 11316 is 61311.

11316 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

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 11316.

It is not an unprimeable number, because it can be changed into a prime (11311) by changing a digit.

11316 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 7 ways as a sum of consecutive naturals, for example, 256 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

2¹¹³¹⁶ 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 11316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112).

11316 is an abundant number, since it is smaller than the sum of its proper divisors (16908).

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

11316 is a wasteful number, since it uses less digits than its factorization.

11316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 69 counting only the distinct ones).

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

The square root of 11316 is about 106.3766891758. The cubic root of 11316 is about 22.4507565018.

Adding to 11316 its reverse (61311), we get a palindrome (72627).

It can be divided in two parts, 1131 and 6, that multiplied together give a triangular number (6786 = T₁₁₆).

The spelling of 11316 in words is "eleven thousand, three hundred sixteen".