3201312121313 has 2 divisors, whose sum is σ = 3201312121314. Its totient is φ = 3201312121312.

The previous prime is 3201312121297. The next prime is 3201312121367. The reversal of 3201312121313 is 3131212131023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2696847115264 + 504465006049 = 1642208^2 + 710257^2 .

It is a cyclic number.

It is not a de Polignac number, because 3201312121313 - 2⁴ = 3201312121297 is a prime.

It is not a weakly prime, because it can be changed into another prime (3201311121313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1600656060656 + 1600656060657.

It is an arithmetic number, because the mean of its divisors is an integer number (1600656060657).

Almost surely, 2^{3201312121313} is an apocalyptic number.

It is an amenable number.

3201312121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3201312121313 is an equidigital number, since it uses as much as digits as its factorization.

3201312121313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 3201312121313 its reverse (3131212131023), we get a palindrome (6332524252336).

The spelling of 3201312121313 in words is "three trillion, two hundred one billion, three hundred twelve million, one hundred twenty-one thousand, three hundred thirteen".