313213001 has 2 divisors, whose sum is σ = 313213002. Its totient is φ = 313213000.

The previous prime is 313212973. The next prime is 313213003. The reversal of 313213001 is 100312313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200958976 + 112254025 = 14176^2 + 10595^2 .

It is a cyclic number.

It is not a de Polignac number, because 313213001 - 2¹⁴ = 313196617 is a prime.

Together with 313213003, 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 (313213003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156606500 + 156606501.

It is an arithmetic number, because the mean of its divisors is an integer number (156606501).

Almost surely, 2^313213001 is an apocalyptic number.

It is an amenable number.

313213001 is a deficient number, since it is larger than the sum of its proper divisors (1).

313213001 is an equidigital number, since it uses as much as digits as its factorization.

313213001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 313213001 is about 17697.8247533419. The cubic root of 313213001 is about 679.1201141255.

Adding to 313213001 its reverse (100312313), we get a palindrome (413525314).

The spelling of 313213001 in words is "three hundred thirteen million, two hundred thirteen thousand, one".