312120313213 has 2 divisors, whose sum is σ = 312120313214. Its totient is φ = 312120313212.

The previous prime is 312120313163. The next prime is 312120313237. The reversal of 312120313213 is 312313021213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168590717604 + 143529595609 = 410598^2 + 378853^2 .

It is a cyclic number.

It is not a de Polignac number, because 312120313213 - 2²¹ = 312118216061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312120313273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156060156606 + 156060156607.

It is an arithmetic number, because the mean of its divisors is an integer number (156060156607).

Almost surely, 2^312120313213 is an apocalyptic number.

It is an amenable number.

312120313213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312120313213 is an equidigital number, since it uses as much as digits as its factorization.

312120313213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 312120313213 its reverse (312313021213), we get a palindrome (624433334426).

The spelling of 312120313213 in words is "three hundred twelve billion, one hundred twenty million, three hundred thirteen thousand, two hundred thirteen".