13021033020013 has 2 divisors, whose sum is σ = 13021033020014. Its totient is φ = 13021033020012.

The previous prime is 13021033019999. The next prime is 13021033020053. The reversal of 13021033020013 is 31002033012031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9343524931524 + 3677508088489 = 3056718^2 + 1917683^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13021033020013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13021033020053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510516510006 + 6510516510007.

It is an arithmetic number, because the mean of its divisors is an integer number (6510516510007).

Almost surely, 2^{13021033020013} is an apocalyptic number.

It is an amenable number.

13021033020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021033020013 is an equidigital number, since it uses as much as digits as its factorization.

13021033020013 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 19.

Adding to 13021033020013 its reverse (31002033012031), we get a palindrome (44023066032044).

The spelling of 13021033020013 in words is "thirteen trillion, twenty-one billion, thirty-three million, twenty thousand, thirteen".