13213300313 has 2 divisors, whose sum is σ = 13213300314. Its totient is φ = 13213300312.

The previous prime is 13213300273. The next prime is 13213300319. The reversal of 13213300313 is 31300331231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6970246144 + 6243054169 = 83488^2 + 79013^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213300313 - 2²⁰ = 13212251737 is a prime.

It is not a weakly prime, because it can be changed into another prime (13213300319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606650156 + 6606650157.

It is an arithmetic number, because the mean of its divisors is an integer number (6606650157).

Almost surely, 2^13213300313 is an apocalyptic number.

It is an amenable number.

13213300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213300313 is an equidigital number, since it uses as much as digits as its factorization.

13213300313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13213300313 its reverse (31300331231), we get a palindrome (44513631544).

The spelling of 13213300313 in words is "thirteen billion, two hundred thirteen million, three hundred thousand, three hundred thirteen".