313122401 has 2 divisors, whose sum is σ = 313122402. Its totient is φ = 313122400.

The previous prime is 313122389. The next prime is 313122427. The reversal of 313122401 is 104221313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248882176 + 64240225 = 15776^2 + 8015^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313122401 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 313122401.

It is not a weakly prime, because it can be changed into another prime (313122461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561200 + 156561201.

It is an arithmetic number, because the mean of its divisors is an integer number (156561201).

Almost surely, 2^313122401 is an apocalyptic number.

It is an amenable number.

313122401 is a deficient number, since it is larger than the sum of its proper divisors (1).

313122401 is an equidigital number, since it uses as much as digits as its factorization.

313122401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 313122401 is about 17695.2649316138. The cubic root of 313122401 is about 679.0546270442.

Adding to 313122401 its reverse (104221313), we get a palindrome (417343714).

The spelling of 313122401 in words is "three hundred thirteen million, one hundred twenty-two thousand, four hundred one".