13006535413 has 2 divisors, whose sum is σ = 13006535414. Its totient is φ = 13006535412.

The previous prime is 13006535401. The next prime is 13006535419. The reversal of 13006535413 is 31453560031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12819447729 + 187087684 = 113223^2 + 13678^2 .

It is an emirp because it is prime and its reverse (31453560031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13006535413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13006535419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503267706 + 6503267707.

It is an arithmetic number, because the mean of its divisors is an integer number (6503267707).

Almost surely, 2^13006535413 is an apocalyptic number.

It is an amenable number.

13006535413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006535413 is an equidigital number, since it uses as much as digits as its factorization.

13006535413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 13006535413 in words is "thirteen billion, six million, five hundred thirty-five thousand, four hundred thirteen".