211311032133221 has 2 divisors, whose sum is σ = 211311032133222. Its totient is φ = 211311032133220.

The previous prime is 211311032133203. The next prime is 211311032133239. The reversal of 211311032133221 is 122331230113112.

It is a balanced prime because it is at equal distance from previous prime (211311032133203) and next prime (211311032133239).

It can be written as a sum of positive squares in only one way, i.e., 191145418036225 + 20165614096996 = 13825535^2 + 4490614^2 .

It is a cyclic number.

It is not a de Polignac number, because 211311032133221 - 2¹⁰ = 211311032132197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211311032133821) 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, 105655516066610 + 105655516066611.

It is an arithmetic number, because the mean of its divisors is an integer number (105655516066611).

Almost surely, 2^{211311032133221} is an apocalyptic number.

It is an amenable number.

211311032133221 is a deficient number, since it is larger than the sum of its proper divisors (1).

211311032133221 is an equidigital number, since it uses as much as digits as its factorization.

211311032133221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 211311032133221 its reverse (122331230113112), we get a palindrome (333642262246333).

The spelling of 211311032133221 in words is "two hundred eleven trillion, three hundred eleven billion, thirty-two million, one hundred thirty-three thousand, two hundred twenty-one".