13314 has 16 divisors (see below), whose sum is σ = 30528. Its totient is φ = 3792.

The previous prime is 13313. The next prime is 13327. The reversal of 13314 is 41331.

It is a self number, because there is not a number n which added to its sum of digits gives 13314.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13314.

It is not an unprimeable number, because it can be changed into a prime (13313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (1908).

2¹³³¹⁴ is an apocalyptic number.

13314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13314 is an abundant number, since it is smaller than the sum of its proper divisors (17214).

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 (15264).

13314 is a wasteful number, since it uses less digits than its factorization.

13314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329.

The product of its digits is 36, while the sum is 12.

The square root of 13314 is about 115.3863076799. The cubic root of 13314 is about 23.7011553853.

Adding to 13314 its reverse (41331), we get a palindrome (54645).

The spelling of 13314 in words is "thirteen thousand, three hundred fourteen".