313222313 has 2 divisors, whose sum is σ = 313222314. Its totient is φ = 313222312.

The previous prime is 313222309. The next prime is 313222333.

313222313 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (313222333) can be obtained adding 313222313 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305970064 + 7252249 = 17492^2 + 2693^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313222313 - 2² = 313222309 is a prime.

It is a super-2 number, since 2×313222313² = 196216434722139938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313222333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156611156 + 156611157.

It is an arithmetic number, because the mean of its divisors is an integer number (156611157).

Almost surely, 2^313222313 is an apocalyptic number.

It is an amenable number.

313222313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313222313 is an equidigital number, since it uses as much as digits as its factorization.

313222313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 20.

The square root of 313222313 is about 17698.0878345656. The cubic root of 313222313 is about 679.1268442674.

The spelling of 313222313 in words is "three hundred thirteen million, two hundred twenty-two thousand, three hundred thirteen".