13381312 has 84 divisors (see below), whose sum is σ = 32836104. Its totient is φ = 5376000.

The previous prime is 13381289. The next prime is 13381327. The reversal of 13381312 is 21318331.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53187 + ... + 53437.

It is an arithmetic number, because the mean of its divisors is an integer number (390906).

Almost surely, 2^13381312 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 13381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418052).

13381312 is an abundant number, since it is smaller than the sum of its proper divisors (19454792).

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

13381312 is a wasteful number, since it uses less digits than its factorization.

13381312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 277 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 13381312 is about 3658.0475666672. The cubic root of 13381312 is about 237.4103048185.

Adding to 13381312 its reverse (21318331), we get a palindrome (34699643).

The spelling of 13381312 in words is "thirteen million, three hundred eighty-one thousand, three hundred twelve".