11001110011001 has 64 divisors (see below), whose sum is σ = 12709479398400. Its totient is φ = 9430119014400.

The previous prime is 11001110010991. The next prime is 11001110011063. The reversal of 11001110011001 is 10011001110011.

It is a cyclic number.

It is not a de Polignac number, because 11001110011001 - 2¹⁰ = 11001110009977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11001110011001.

It is not an unprimeable number, because it can be changed into a prime (11001110011081) 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 63 ways as a sum of consecutive naturals, for example, 1304836256 + ... + 1304844686.

It is an arithmetic number, because the mean of its divisors is an integer number (198585615600).

Almost surely, 2^{11001110011001} is an apocalyptic number.

11001110011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001110011001 is a deficient number, since it is larger than the sum of its proper divisors (1708369387399).

11001110011001 is a wasteful number, since it uses less digits than its factorization.

11001110011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11001110011001 its reverse (10011001110011), we get a palindrome (21012111121012).

It can be divided in two parts, 110011 and 10011001, that multiplied together give a palindrome (1101320231011).

The spelling of 11001110011001 in words is "eleven trillion, one billion, one hundred ten million, eleven thousand, one".