13000300013 has 2 divisors, whose sum is σ = 13000300014. Its totient is φ = 13000300012.

The previous prime is 13000299989. The next prime is 13000300073. The reversal of 13000300013 is 31000300031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10428085924 + 2572214089 = 102118^2 + 50717^2 .

It is an emirp because it is prime and its reverse (31000300031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13000300013 - 2³² = 8705332717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13000299967 and 13000300003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000300073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500150006 + 6500150007.

It is an arithmetic number, because the mean of its divisors is an integer number (6500150007).

Almost surely, 2^13000300013 is an apocalyptic number.

It is an amenable number.

13000300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000300013 is an equidigital number, since it uses as much as digits as its factorization.

13000300013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 13000300013 its reverse (31000300031), we get a palindrome (44000600044).

The spelling of 13000300013 in words is "thirteen billion, three hundred thousand, thirteen".