213312320964697 has 2 divisors, whose sum is σ = 213312320964698. Its totient is φ = 213312320964696.

The previous prime is 213312320964629. The next prime is 213312320964709. The reversal of 213312320964697 is 796469023213312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111901298312281 + 101411022652416 = 10578341^2 + 10070304^2 .

It is a cyclic number.

It is not a de Polignac number, because 213312320964697 - 2¹⁹ = 213312320440409 is a prime.

It is a super-2 number, since 2×213312320964697² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213312320994697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106656160482348 + 106656160482349.

It is an arithmetic number, because the mean of its divisors is an integer number (106656160482349).

Almost surely, 2^{213312320964697} is an apocalyptic number.

It is an amenable number.

213312320964697 is a deficient number, since it is larger than the sum of its proper divisors (1).

213312320964697 is an equidigital number, since it uses as much as digits as its factorization.

213312320964697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17635968, while the sum is 58.

The spelling of 213312320964697 in words is "two hundred thirteen trillion, three hundred twelve billion, three hundred twenty million, nine hundred sixty-four thousand, six hundred ninety-seven".