11000110011133 has 2 divisors, whose sum is σ = 11000110011134. Its totient is φ = 11000110011132.

The previous prime is 11000110011089. The next prime is 11000110011161. The reversal of 11000110011133 is 33111001100011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10032536786724 + 967573224409 = 3167418^2 + 983653^2 .

It is an emirp because it is prime and its reverse (33111001100011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11000110011133 - 2²⁹ = 10999573140221 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11000110011173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500055005566 + 5500055005567.

It is an arithmetic number, because the mean of its divisors is an integer number (5500055005567).

Almost surely, 2^{11000110011133} is an apocalyptic number.

It is an amenable number.

11000110011133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000110011133 is an equidigital number, since it uses as much as digits as its factorization.

11000110011133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 11000110011133 its reverse (33111001100011), we get a palindrome (44111111111144).

The spelling of 11000110011133 in words is "eleven trillion, one hundred ten million, eleven thousand, one hundred thirty-three".