13002034013 has 2 divisors, whose sum is σ = 13002034014. Its totient is φ = 13002034012.

The previous prime is 13002034009. The next prime is 13002034033. The reversal of 13002034013 is 31043020031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12303911929 + 698122084 = 110923^2 + 26422^2 .

It is an emirp because it is prime and its reverse (31043020031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13002034013 - 2² = 13002034009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13002033982 and 13002034000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13002034033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6501017006 + 6501017007.

It is an arithmetic number, because the mean of its divisors is an integer number (6501017007).

Almost surely, 2^13002034013 is an apocalyptic number.

It is an amenable number.

13002034013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13002034013 is an equidigital number, since it uses as much as digits as its factorization.

13002034013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13002034013 its reverse (31043020031), we get a palindrome (44045054044).

The spelling of 13002034013 in words is "thirteen billion, two million, thirty-four thousand, thirteen".