13020817013 has 2 divisors, whose sum is σ = 13020817014. Its totient is φ = 13020817012.

The previous prime is 13020816931. The next prime is 13020817031. The reversal of 13020817013 is 31071802031.

Together with next prime (13020817031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7663601764 + 5357215249 = 87542^2 + 73193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13020817013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13020817813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510408506 + 6510408507.

It is an arithmetic number, because the mean of its divisors is an integer number (6510408507).

Almost surely, 2^13020817013 is an apocalyptic number.

It is an amenable number.

13020817013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13020817013 is an equidigital number, since it uses as much as digits as its factorization.

13020817013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 13020817013 in words is "thirteen billion, twenty million, eight hundred seventeen thousand, thirteen".