13305013 has 2 divisors, whose sum is σ = 13305014. Its totient is φ = 13305012.

The previous prime is 13305007. The next prime is 13305041. The reversal of 13305013 is 31050331.

13305013 is nontrivially palindromic in base 14.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9778129 + 3526884 = 3127^2 + 1878^2 .

It is a cyclic number.

It is not a de Polignac number, because 13305013 - 2⁵ = 13304981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10305013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6652506 + 6652507.

It is an arithmetic number, because the mean of its divisors is an integer number (6652507).

Almost surely, 2^13305013 is an apocalyptic number.

It is an amenable number.

13305013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13305013 is an equidigital number, since it uses as much as digits as its factorization.

13305013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 13305013 is about 3647.6037339601. The cubic root of 13305013 is about 236.9582139532.

Adding to 13305013 its reverse (31050331), we get a palindrome (44355344).

The spelling of 13305013 in words is "thirteen million, three hundred five thousand, thirteen".