13031305 has 12 divisors (see below), whose sum is σ = 18190980. Its totient is φ = 8935584.

The previous prime is 13031261. The next prime is 13031309. The reversal of 13031305 is 50313031.

It can be written as a sum of positive squares in 2 ways, for example, as 9616201 + 3415104 = 3101^2 + 1848^2 .

It is not a de Polignac number, because 13031305 - 2⁹ = 13030793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13031309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26350 + ... + 26839.

It is an arithmetic number, because the mean of its divisors is an integer number (1515915).

Almost surely, 2^13031305 is an apocalyptic number.

It is an amenable number.

13031305 is a deficient number, since it is larger than the sum of its proper divisors (5159675).

13031305 is an equidigital number, since it uses as much as digits as its factorization.

13031305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53208 (or 53201 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 13031305 is about 3609.8898875173. The cubic root of 13031305 is about 235.3220573011.

Adding to 13031305 its reverse (50313031), we get a palindrome (63344336).

The spelling of 13031305 in words is "thirteen million, thirty-one thousand, three hundred five".