13281376 has 48 divisors (see below), whose sum is σ = 27433728. Its totient is φ = 6323200.

The previous prime is 13281371. The next prime is 13281377. The reversal of 13281376 is 67318231.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13281371) 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, 69441 + ... + 69631.

It is an arithmetic number, because the mean of its divisors is an integer number (571536).

Almost surely, 2^13281376 is an apocalyptic number.

13281376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13281376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

13281376 is an abundant number, since it is smaller than the sum of its proper divisors (14152352).

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

13281376 is a wasteful number, since it uses less digits than its factorization.

13281376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 13281376 is about 3644.3622212947. The cubic root of 13281376 is about 236.8178081932.

It can be divided in two parts, 1328 and 1376, that added together give a square (2704 = 52²).

The spelling of 13281376 in words is "thirteen million, two hundred eighty-one thousand, three hundred seventy-six".