11011122210133 has 2 divisors, whose sum is σ = 11011122210134. Its totient is φ = 11011122210132.

The previous prime is 11011122210107. The next prime is 11011122210161. The reversal of 11011122210133 is 33101222111011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9082737282564 + 1928384927569 = 3013758^2 + 1388663^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011122210133 - 2³⁷ = 10873683256661 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11011122210133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011122210173) 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, 5505561105066 + 5505561105067.

It is an arithmetic number, because the mean of its divisors is an integer number (5505561105067).

Almost surely, 2^{11011122210133} is an apocalyptic number.

It is an amenable number.

11011122210133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011122210133 is an equidigital number, since it uses as much as digits as its factorization.

11011122210133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 11011122210133 its reverse (33101222111011), we get a palindrome (44112344321144).

The spelling of 11011122210133 in words is "eleven trillion, eleven billion, one hundred twenty-two million, two hundred ten thousand, one hundred thirty-three".