313321361 has 2 divisors, whose sum is σ = 313321362. Its totient is φ = 313321360.

The previous prime is 313321331. The next prime is 313321363. The reversal of 313321361 is 163123313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307827025 + 5494336 = 17545^2 + 2344^2 .

It is a cyclic number.

It is not a de Polignac number, because 313321361 - 2⁶ = 313321297 is a prime.

Together with 313321363, 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 (313321363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156660680 + 156660681.

It is an arithmetic number, because the mean of its divisors is an integer number (156660681).

Almost surely, 2^313321361 is an apocalyptic number.

It is an amenable number.

313321361 is a deficient number, since it is larger than the sum of its proper divisors (1).

313321361 is an equidigital number, since it uses as much as digits as its factorization.

313321361 is an odious number, because the sum of its binary digits is odd.

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

The square root of 313321361 is about 17700.8858817857. The cubic root of 313321361 is about 679.1984218273.

Adding to 313321361 its reverse (163123313), we get a palindrome (476444674).

The spelling of 313321361 in words is "three hundred thirteen million, three hundred twenty-one thousand, three hundred sixty-one".