11000011100009 has 8 divisors (see below), whose sum is σ = 11116930792968. Its totient is φ = 10883708398080.

The previous prime is 11000011099999. The next prime is 11000011100083. The reversal of 11000011100009 is 90000111000011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52826425600 + 10947184674409 = 229840^2 + 3308653^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11000011100009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11000011099966 and 11000011100002.

It is not an unprimeable number, because it can be changed into a prime (11000011100909) 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 in 7 ways as a sum of consecutive naturals, for example, 154211912 + ... + 154283225.

It is an arithmetic number, because the mean of its divisors is an integer number (1389616349121).

Almost surely, 2^{11000011100009} is an apocalyptic number.

It is an amenable number.

11000011100009 is a deficient number, since it is larger than the sum of its proper divisors (116919692959).

11000011100009 is a wasteful number, since it uses less digits than its factorization.

11000011100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308495515.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 11000011100009 in words is "eleven trillion, eleven million, one hundred thousand, nine".