313210214321 has 2 divisors, whose sum is σ = 313210214322. Its totient is φ = 313210214320.

The previous prime is 313210214309. The next prime is 313210214323. The reversal of 313210214321 is 123412012313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308512482721 + 4697731600 = 555439^2 + 68540^2 .

It is an emirp because it is prime and its reverse (123412012313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313210214321 is a prime.

Together with 313210214323, 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 (313210214323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156605107160 + 156605107161.

It is an arithmetic number, because the mean of its divisors is an integer number (156605107161).

Almost surely, 2^313210214321 is an apocalyptic number.

It is an amenable number.

313210214321 is a deficient number, since it is larger than the sum of its proper divisors (1).

313210214321 is an equidigital number, since it uses as much as digits as its factorization.

313210214321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 313210214321 its reverse (123412012313), we get a palindrome (436622226634).

The spelling of 313210214321 in words is "three hundred thirteen billion, two hundred ten million, two hundred fourteen thousand, three hundred twenty-one".