212311223012033 has 2 divisors, whose sum is σ = 212311223012034. Its totient is φ = 212311223012032.

The previous prime is 212311223012027. The next prime is 212311223012039. The reversal of 212311223012033 is 330210322113212.

It is a balanced prime because it is at equal distance from previous prime (212311223012027) and next prime (212311223012039).

It can be written as a sum of positive squares in only one way, i.e., 191227633506064 + 21083589505969 = 13828508^2 + 4591687^2 .

It is a cyclic number.

It is not a de Polignac number, because 212311223012033 - 2⁴ = 212311223012017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212311223011993 and 212311223012011.

It is not a weakly prime, because it can be changed into another prime (212311223012039) 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, 106155611506016 + 106155611506017.

It is an arithmetic number, because the mean of its divisors is an integer number (106155611506017).

Almost surely, 2^{212311223012033} is an apocalyptic number.

It is an amenable number.

212311223012033 is a deficient number, since it is larger than the sum of its proper divisors (1).

212311223012033 is an equidigital number, since it uses as much as digits as its factorization.

212311223012033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 212311223012033 its reverse (330210322113212), we get a palindrome (542521545125245).

The spelling of 212311223012033 in words is "two hundred twelve trillion, three hundred eleven billion, two hundred twenty-three million, twelve thousand, thirty-three".