312210323012213 has 2 divisors, whose sum is σ = 312210323012214. Its totient is φ = 312210323012212.

The previous prime is 312210323012153. The next prime is 312210323012279.

312210323012213 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 303780603065809 + 8429719946404 = 17429303^2 + 2903398^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312210323012213 - 2¹⁶ = 312210322946677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312210323012293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156105161506106 + 156105161506107.

It is an arithmetic number, because the mean of its divisors is an integer number (156105161506107).

Almost surely, 2^{312210323012213} is an apocalyptic number.

It is an amenable number.

312210323012213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312210323012213 is an equidigital number, since it uses as much as digits as its factorization.

312210323012213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 312210323012213 in words is "three hundred twelve trillion, two hundred ten billion, three hundred twenty-three million, twelve thousand, two hundred thirteen".