13305281 has 6 divisors (see below), whose sum is σ = 14624946. Its totient is φ = 12095600.

The previous prime is 13305241. The next prime is 13305307. The reversal of 13305281 is 18250331.

It can be written as a sum of positive squares in only one way, i.e., 13256881 + 48400 = 3641^2 + 220^2 .

It is not a de Polignac number, because 13305281 - 2²² = 9110977 is a prime.

It is a super-2 number, since 2×13305281² = 354061004977922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13305211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54860 + ... + 55101.

It is an arithmetic number, because the mean of its divisors is an integer number (2437491).

Almost surely, 2^13305281 is an apocalyptic number.

13305281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13305281 is a deficient number, since it is larger than the sum of its proper divisors (1319665).

13305281 is a wasteful number, since it uses less digits than its factorization.

13305281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109983 (or 109972 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 13305281 is about 3647.6404702218. The cubic root of 13305281 is about 236.9598049419.

The spelling of 13305281 in words is "thirteen million, three hundred five thousand, two hundred eighty-one".