11000111011001 has 24 divisors (see below), whose sum is σ = 12824274193920. Its totient is φ = 9407890800000.

The previous prime is 11000111010989. The next prime is 11000111011039. The reversal of 11000111011001 is 10011011100011.

It is not a de Polignac number, because 11000111011001 - 2¹⁰ = 11000111009977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11000111011001.

It is not an unprimeable number, because it can be changed into a prime (11000111011051) 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 in 23 ways as a sum of consecutive naturals, for example, 40606001 + ... + 40876001.

It is an arithmetic number, because the mean of its divisors is an integer number (534344758080).

Almost surely, 2^{11000111011001} is an apocalyptic number.

It is an amenable number.

11000111011001 is a deficient number, since it is larger than the sum of its proper divisors (1824163182919).

11000111011001 is an equidigital number, since it uses as much as digits as its factorization.

11000111011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271845 (or 271838 counting only the distinct ones).

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

Adding to 11000111011001 its reverse (10011011100011), we get a palindrome (21011122111012).

The spelling of 11000111011001 in words is "eleven trillion, one hundred eleven million, eleven thousand, one".