13305231 has 24 divisors (see below), whose sum is σ = 20074496. Its totient is φ = 8482320.

The previous prime is 13305223. The next prime is 13305239. The reversal of 13305231 is 13250331.

13305231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13305223) and next prime (13305239).

It is not a de Polignac number, because 13305231 - 2³ = 13305223 is a prime.

It is a super-2 number, since 2×13305231² = 354058343926722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28506 + ... + 28968.

Almost surely, 2^13305231 is an apocalyptic number.

13305231 is a deficient number, since it is larger than the sum of its proper divisors (6769265).

13305231 is a wasteful number, since it uses less digits than its factorization.

13305231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13305231 is about 3647.6336164697. The cubic root of 13305231 is about 236.9595081173.

Adding to 13305231 its reverse (13250331), we get a palindrome (26555562).

It can be divided in two parts, 1330 and 5231, that added together give a 8-th power (6561 = 3⁸).

The spelling of 13305231 in words is "thirteen million, three hundred five thousand, two hundred thirty-one".