13212120122213 has 2 divisors, whose sum is σ = 13212120122214. Its totient is φ = 13212120122212.

The previous prime is 13212120122161. The next prime is 13212120122297. The reversal of 13212120122213 is 31222102121231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12479312216449 + 732807905764 = 3532607^2 + 856042^2 .

It is a cyclic number.

It is not a de Polignac number, because 13212120122213 - 2³⁴ = 13194940253029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13212120122413) 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, 6606060061106 + 6606060061107.

It is an arithmetic number, because the mean of its divisors is an integer number (6606060061107).

Almost surely, 2^{13212120122213} is an apocalyptic number.

It is an amenable number.

13212120122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13212120122213 is an equidigital number, since it uses as much as digits as its factorization.

13212120122213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 13212120122213 its reverse (31222102121231), we get a palindrome (44434222243444).

The spelling of 13212120122213 in words is "thirteen trillion, two hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, two hundred thirteen".