13001202330313 has 2 divisors, whose sum is σ = 13001202330314. Its totient is φ = 13001202330312.

The previous prime is 13001202330289. The next prime is 13001202330331. The reversal of 13001202330313 is 31303320210031.

13001202330313 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 (13001202330331) 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., 7729806744009 + 5271395586304 = 2780253^2 + 2295952^2 .

It is a cyclic number.

It is not a de Polignac number, because 13001202330313 - 2²⁹ = 13000665459401 is a prime.

It is not a weakly prime, because it can be changed into another prime (13001202330013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500601165156 + 6500601165157.

It is an arithmetic number, because the mean of its divisors is an integer number (6500601165157).

Almost surely, 2^{13001202330313} is an apocalyptic number.

It is an amenable number.

13001202330313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001202330313 is an equidigital number, since it uses as much as digits as its factorization.

13001202330313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13001202330313 its reverse (31303320210031), we get a palindrome (44304522540344).

The spelling of 13001202330313 in words is "thirteen trillion, one billion, two hundred two million, three hundred thirty thousand, three hundred thirteen".