212533123335133 has 2 divisors, whose sum is σ = 212533123335134. Its totient is φ = 212533123335132.

The previous prime is 212533123335121. The next prime is 212533123335173. The reversal of 212533123335133 is 331533321335212.

It is an a-pointer prime, because the next prime (212533123335173) can be obtained adding 212533123335133 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198502090711929 + 14031032623204 = 14089077^2 + 3745802^2 .

It is a cyclic number.

It is not a de Polignac number, because 212533123335133 - 2⁴⁵ = 177348751246301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212533123335173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106266561667566 + 106266561667567.

It is an arithmetic number, because the mean of its divisors is an integer number (106266561667567).

Almost surely, 2^{212533123335133} is an apocalyptic number.

It is an amenable number.

212533123335133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212533123335133 is an equidigital number, since it uses as much as digits as its factorization.

212533123335133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 437400, while the sum is 40.

The spelling of 212533123335133 in words is "two hundred twelve trillion, five hundred thirty-three billion, one hundred twenty-three million, three hundred thirty-five thousand, one hundred thirty-three".