13308 has 12 divisors (see below), whose sum is σ = 31080. Its totient is φ = 4432.

The previous prime is 13297. The next prime is 13309. The reversal of 13308 is 80331.

13308 is nontrivially palindromic in base 11.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13309) by changing a digit.

13308 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 3 ways as a sum of consecutive naturals, for example, 543 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (2590).

2¹³³⁰⁸ is an apocalyptic number.

It is an amenable number.

13308 is an abundant number, since it is smaller than the sum of its proper divisors (17772).

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 (15540).

13308 is a wasteful number, since it uses less digits than its factorization.

13308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13308 is about 115.3603051314. The cubic root of 13308 is about 23.6975945145.

Adding to 13308 its reverse (80331), we get a palindrome (93639).

It can be divided in two parts, 13 and 308, that multiplied together give a palindrome (4004).

The spelling of 13308 in words is "thirteen thousand, three hundred eight".