13312 has 22 divisors (see below), whose sum is σ = 28658. Its totient is φ = 6144.

The previous prime is 13309. The next prime is 13313. The reversal of 13312 is 21331.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 4096 = 96^2 + 64^2 .

It is a plaindrome in base 14.

It is a nialpdrome in base 4 and base 8.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1018 + ... + 1030.

2¹³³¹² 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 13312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14329).

13312 is an abundant number, since it is smaller than the sum of its proper divisors (15346).

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

13312 is an equidigital number, since it uses as much as digits as its factorization.

13312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 15 counting only the distinct ones).

The product of its digits is 18, while the sum is 10.

The square root of 13312 is about 115.3776408148. The cubic root of 13312 is about 23.6999685473.

Adding to 13312 its reverse (21331), we get a palindrome (34643).

It can be divided in two parts, 1331 and 2, that multiplied together give a palindrome (2662).

The spelling of 13312 in words is "thirteen thousand, three hundred twelve".