312331223211313 has 2 divisors, whose sum is σ = 312331223211314. Its totient is φ = 312331223211312.

The previous prime is 312331223211257. The next prime is 312331223211383. The reversal of 312331223211313 is 313112322133213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241124746788864 + 71206476422449 = 15528192^2 + 8438393^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312331223211313 is a prime.

It is a super-4 number, since 4×312331223211313⁴ (a number of 59 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (312331223211383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156165611605656 + 156165611605657.

It is an arithmetic number, because the mean of its divisors is an integer number (156165611605657).

Almost surely, 2^{312331223211313} is an apocalyptic number.

It is an amenable number.

312331223211313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312331223211313 is an equidigital number, since it uses as much as digits as its factorization.

312331223211313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 31.

Adding to 312331223211313 its reverse (313112322133213), we get a palindrome (625443545344526).

The spelling of 312331223211313 in words is "three hundred twelve trillion, three hundred thirty-one billion, two hundred twenty-three million, two hundred eleven thousand, three hundred thirteen".