13000301213 has 2 divisors, whose sum is σ = 13000301214. Its totient is φ = 13000301212.

The previous prime is 13000301203. The next prime is 13000301227. The reversal of 13000301213 is 31210300031.

13000301213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (13000301227) can be obtained adding 13000301213 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11324790724 + 1675510489 = 106418^2 + 40933^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13000301213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000301203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500150606 + 6500150607.

It is an arithmetic number, because the mean of its divisors is an integer number (6500150607).

Almost surely, 2^13000301213 is an apocalyptic number.

It is an amenable number.

13000301213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000301213 is an equidigital number, since it uses as much as digits as its factorization.

13000301213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13000301213 its reverse (31210300031), we get a palindrome (44210601244).

The spelling of 13000301213 in words is "thirteen billion, three hundred one thousand, two hundred thirteen".