11211112011133 has 2 divisors, whose sum is σ = 11211112011134. Its totient is φ = 11211112011132.

The previous prime is 11211112011131. The next prime is 11211112011167. The reversal of 11211112011133 is 33111021111211.

11211112011133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9949091191524 + 1262020819609 = 3154218^2 + 1123397^2 .

It is a cyclic number.

It is not a de Polignac number, because 11211112011133 - 2¹ = 11211112011131 is a prime.

Together with 11211112011131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 11211112011133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11211112011131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5605556005566 + 5605556005567.

It is an arithmetic number, because the mean of its divisors is an integer number (5605556005567).

Almost surely, 2^{11211112011133} is an apocalyptic number.

It is an amenable number.

11211112011133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211112011133 is an equidigital number, since it uses as much as digits as its factorization.

11211112011133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 11211112011133 its reverse (33111021111211), we get a palindrome (44322133122344).

The spelling of 11211112011133 in words is "eleven trillion, two hundred eleven billion, one hundred twelve million, eleven thousand, one hundred thirty-three".