13212313013 has 2 divisors, whose sum is σ = 13212313014. Its totient is φ = 13212313012.

The previous prime is 13212313007. The next prime is 13212313019. The reversal of 13212313013 is 31031321231.

It is a balanced prime because it is at equal distance from previous prime (13212313007) and next prime (13212313019).

It can be written as a sum of positive squares in only one way, i.e., 12317226289 + 895086724 = 110983^2 + 29918^2 .

It is a cyclic number.

It is not a de Polignac number, because 13212313013 - 2¹⁰ = 13212311989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13212313019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606156506 + 6606156507.

It is an arithmetic number, because the mean of its divisors is an integer number (6606156507).

Almost surely, 2^13212313013 is an apocalyptic number.

It is an amenable number.

13212313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13212313013 is an equidigital number, since it uses as much as digits as its factorization.

13212313013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13212313013 its reverse (31031321231), we get a palindrome (44243634244).

The spelling of 13212313013 in words is "thirteen billion, two hundred twelve million, three hundred thirteen thousand, thirteen".