312221122013 has 2 divisors, whose sum is σ = 312221122014. Its totient is φ = 312221122012.

The previous prime is 312221121991. The next prime is 312221122117. The reversal of 312221122013 is 310221122213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296760189049 + 15460932964 = 544757^2 + 124342^2 .

It is a cyclic number.

It is not a de Polignac number, because 312221122013 - 2¹⁸ = 312220859869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312221128013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156110561006 + 156110561007.

It is an arithmetic number, because the mean of its divisors is an integer number (156110561007).

Almost surely, 2^312221122013 is an apocalyptic number.

It is an amenable number.

312221122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312221122013 is an equidigital number, since it uses as much as digits as its factorization.

312221122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312221122013 its reverse (310221122213), we get a palindrome (622442244226).

The spelling of 312221122013 in words is "three hundred twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, thirteen".