313222101222313 has 2 divisors, whose sum is σ = 313222101222314. Its totient is φ = 313222101222312.

The previous prime is 313222101222263. The next prime is 313222101222323.

313222101222313 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307990144923904 + 5231956298409 = 17549648^2 + 2287347^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313222101222313 - 2⁹ = 313222101221801 is a prime.

It is not a weakly prime, because it can be changed into another prime (313222101222323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156611050611156 + 156611050611157.

It is an arithmetic number, because the mean of its divisors is an integer number (156611050611157).

Almost surely, 2^{313222101222313} is an apocalyptic number.

It is an amenable number.

313222101222313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313222101222313 is an equidigital number, since it uses as much as digits as its factorization.

313222101222313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 31322210 and 1222313, that added together give a palindrome (32544523).

The spelling of 313222101222313 in words is "three hundred thirteen trillion, two hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand, three hundred thirteen".