211333232113 has 2 divisors, whose sum is σ = 211333232114. Its totient is φ = 211333232112.

The previous prime is 211333232083. The next prime is 211333232119. The reversal of 211333232113 is 311232333112.

211333232113 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., 204387176464 + 6946055649 = 452092^2 + 83343^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211333232113 is a prime.

It is not a weakly prime, because it can be changed into another prime (211333232119) 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, 105666616056 + 105666616057.

It is an arithmetic number, because the mean of its divisors is an integer number (105666616057).

Almost surely, 2^211333232113 is an apocalyptic number.

It is an amenable number.

211333232113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211333232113 is an equidigital number, since it uses as much as digits as its factorization.

211333232113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

Adding to 211333232113 its reverse (311232333112), we get a palindrome (522565565225).

The spelling of 211333232113 in words is "two hundred eleven billion, three hundred thirty-three million, two hundred thirty-two thousand, one hundred thirteen".