211005111133 has 2 divisors, whose sum is σ = 211005111134. Its totient is φ = 211005111132.

The previous prime is 211005111013. The next prime is 211005111143. The reversal of 211005111133 is 331111500112.

211005111133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203557075929 + 7448035204 = 451173^2 + 86302^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211005111133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211005111133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211005111143) 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, 105502555566 + 105502555567.

It is an arithmetic number, because the mean of its divisors is an integer number (105502555567).

Almost surely, 2^211005111133 is an apocalyptic number.

It is an amenable number.

211005111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

211005111133 is an equidigital number, since it uses as much as digits as its factorization.

211005111133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 19.

Adding to 211005111133 its reverse (331111500112), we get a palindrome (542116611245).

The spelling of 211005111133 in words is "two hundred eleven billion, five million, one hundred eleven thousand, one hundred thirty-three".