212211133123313 has 2 divisors, whose sum is σ = 212211133123314. Its totient is φ = 212211133123312.

The previous prime is 212211133123159. The next prime is 212211133123337. The reversal of 212211133123313 is 313321331112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122962527789409 + 89248605333904 = 11088847^2 + 9447148^2 .

It is a cyclic number.

It is not a de Polignac number, because 212211133123313 - 2²⁰ = 212211132074737 is a prime.

It is a super-3 number, since 3×212211133123313³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (212211133123343) 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, 106105566561656 + 106105566561657.

It is an arithmetic number, because the mean of its divisors is an integer number (106105566561657).

Almost surely, 2^{212211133123313} is an apocalyptic number.

It is an amenable number.

212211133123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211133123313 is an equidigital number, since it uses as much as digits as its factorization.

212211133123313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 29.

Adding to 212211133123313 its reverse (313321331112212), we get a palindrome (525532464235525).

The spelling of 212211133123313 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred thirty-three million, one hundred twenty-three thousand, three hundred thirteen".