13023414013 has 2 divisors, whose sum is σ = 13023414014. Its totient is φ = 13023414012.

The previous prime is 13023414011. The next prime is 13023414023. The reversal of 13023414013 is 31041432031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9809317764 + 3214096249 = 99042^2 + 56693^2 .

It is a cyclic number.

It is not a de Polignac number, because 13023414013 - 2¹ = 13023414011 is a prime.

Together with 13023414011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13023414011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511707006 + 6511707007.

It is an arithmetic number, because the mean of its divisors is an integer number (6511707007).

Almost surely, 2^13023414013 is an apocalyptic number.

It is an amenable number.

13023414013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13023414013 is an equidigital number, since it uses as much as digits as its factorization.

13023414013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13023414013 its reverse (31041432031), we get a palindrome (44064846044).

The spelling of 13023414013 in words is "thirteen billion, twenty-three million, four hundred fourteen thousand, thirteen".