13301020303313 has 2 divisors, whose sum is σ = 13301020303314. Its totient is φ = 13301020303312.

The previous prime is 13301020303279. The next prime is 13301020303331. The reversal of 13301020303313 is 31330302010331.

13301020303313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (13301020303331) 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., 11724104706304 + 1576915597009 = 3424048^2 + 1255753^2 .

It is a cyclic number.

It is not a de Polignac number, because 13301020303313 - 2¹⁴ = 13301020286929 is a prime.

It is a super-2 number, since 2×13301020303313² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13301020303343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650510151656 + 6650510151657.

It is an arithmetic number, because the mean of its divisors is an integer number (6650510151657).

Almost surely, 2^{13301020303313} is an apocalyptic number.

It is an amenable number.

13301020303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301020303313 is an equidigital number, since it uses as much as digits as its factorization.

13301020303313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 13301020303313 its reverse (31330302010331), we get a palindrome (44631322313644).

The spelling of 13301020303313 in words is "thirteen trillion, three hundred one billion, twenty million, three hundred three thousand, three hundred thirteen".