13281312 has 48 divisors (see below), whose sum is σ = 38035872. Its totient is φ = 4024320.

The previous prime is 13281293. The next prime is 13281329. The reversal of 13281312 is 21318231.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5233 + ... + 7344.

It is an arithmetic number, because the mean of its divisors is an integer number (792414).

Almost surely, 2^13281312 is an apocalyptic number.

13281312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13281312 is an abundant number, since it is smaller than the sum of its proper divisors (24754560).

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

13281312 is a wasteful number, since it uses less digits than its factorization.

13281312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12601 (or 12593 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 13281312 is about 3644.3534405982. The cubic root of 13281312 is about 236.8174278018.

Adding to 13281312 its reverse (21318231), we get a palindrome (34599543).

The spelling of 13281312 in words is "thirteen million, two hundred eighty-one thousand, three hundred twelve".