13000300210213 has 2 divisors, whose sum is σ = 13000300210214. Its totient is φ = 13000300210212.

The previous prime is 13000300210153. The next prime is 13000300210259. The reversal of 13000300210213 is 31201200300031.

13000300210213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7118234672004 + 5882065538209 = 2668002^2 + 2425297^2 .

It is an emirp because it is prime and its reverse (31201200300031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13000300210213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000300210013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500150105106 + 6500150105107.

It is an arithmetic number, because the mean of its divisors is an integer number (6500150105107).

Almost surely, 2^{13000300210213} is an apocalyptic number.

It is an amenable number.

13000300210213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000300210213 is an equidigital number, since it uses as much as digits as its factorization.

13000300210213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13000300210213 its reverse (31201200300031), we get a palindrome (44201500510244).

The spelling of 13000300210213 in words is "thirteen trillion, three hundred million, two hundred ten thousand, two hundred thirteen".