13281 has 8 divisors (see below), whose sum is σ = 18720. Its totient is φ = 8352.

The previous prime is 13267. The next prime is 13291. The reversal of 13281 is 18231.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13281 - 2⁵ = 13249 is a prime.

It is a super-2 number, since 2×13281² = 352769922, which contains 22 as substring.

It is an Ulam number.

13281 is a lucky number.

It is a nialpdrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 13281.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13281.

It is not an unprimeable number, because it can be changed into a prime (13241) 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, 60 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

2¹³²⁸¹ is an apocalyptic number.

It is an amenable number.

13281 is a deficient number, since it is larger than the sum of its proper divisors (5439).

13281 is a wasteful number, since it uses less digits than its factorization.

13281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255.

The product of its digits is 48, while the sum is 15.

The square root of 13281 is about 115.2432210588. The cubic root of 13281 is about 23.6815573376.

Subtracting 13281 from its reverse (18231), we obtain a triangular number (4950 = T₉₉).

The spelling of 13281 in words is "thirteen thousand, two hundred eighty-one".