11001100001033 has 2 divisors, whose sum is σ = 11001100001034. Its totient is φ = 11001100001032.

The previous prime is 11001100000999. The next prime is 11001100001053. The reversal of 11001100001033 is 33010000110011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10991897052409 + 9202948624 = 3315403^2 + 95932^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001100001033 - 2²⁰ = 11001098952457 is a prime.

It is not a weakly prime, because it can be changed into another prime (11001100001053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500550000516 + 5500550000517.

It is an arithmetic number, because the mean of its divisors is an integer number (5500550000517).

Almost surely, 2^{11001100001033} is an apocalyptic number.

It is an amenable number.

11001100001033 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001100001033 is an equidigital number, since it uses as much as digits as its factorization.

11001100001033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 11001100001033 its reverse (33010000110011), we get a palindrome (44011100111044).

The spelling of 11001100001033 in words is "eleven trillion, one billion, one hundred million, one thousand, thirty-three".