213222033121313 has 2 divisors, whose sum is σ = 213222033121314. Its totient is φ = 213222033121312.

The previous prime is 213222033121247. The next prime is 213222033121379. The reversal of 213222033121313 is 313121330222312.

It is a balanced prime because it is at equal distance from previous prime (213222033121247) and next prime (213222033121379).

It can be written as a sum of positive squares in only one way, i.e., 114308108101009 + 98913925020304 = 10691497^2 + 9945548^2 .

It is a cyclic number.

It is not a de Polignac number, because 213222033121313 - 2¹⁶ = 213222033055777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (213222033111313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106611016560656 + 106611016560657.

It is an arithmetic number, because the mean of its divisors is an integer number (106611016560657).

Almost surely, 2^{213222033121313} is an apocalyptic number.

It is an amenable number.

213222033121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213222033121313 is an equidigital number, since it uses as much as digits as its factorization.

213222033121313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 213222033121313 its reverse (313121330222312), we get a palindrome (526343363343625).

The spelling of 213222033121313 in words is "two hundred thirteen trillion, two hundred twenty-two billion, thirty-three million, one hundred twenty-one thousand, three hundred thirteen".