12313010333201 has 2 divisors, whose sum is σ = 12313010333202. Its totient is φ = 12313010333200.

The previous prime is 12313010333153. The next prime is 12313010333203. The reversal of 12313010333201 is 10233301031321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7004893848976 + 5308116484225 = 2646676^2 + 2303935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12313010333201 is a prime.

It is a super-2 number, since 2×12313010333201² (a number of 27 digits) contains 22 as substring.

Together with 12313010333203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12313010333203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156505166600 + 6156505166601.

It is an arithmetic number, because the mean of its divisors is an integer number (6156505166601).

Almost surely, 2^{12313010333201} is an apocalyptic number.

It is an amenable number.

12313010333201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313010333201 is an equidigital number, since it uses as much as digits as its factorization.

12313010333201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 12313010333201 its reverse (10233301031321), we get a palindrome (22546311364522).

The spelling of 12313010333201 in words is "twelve trillion, three hundred thirteen billion, ten million, three hundred thirty-three thousand, two hundred one".