11000011011011 has 16 divisors (see below), whose sum is σ = 12190735196160. Its totient is φ = 9841882864320.

The previous prime is 11000011010977. The next prime is 11000011011019. The reversal of 11000011011011 is 11011011000011.

11000011011011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11000011011011 - 2¹⁰ = 11000011009987 is a prime.

It is a Duffinian number.

11000011011011 is a modest number, since divided by 11011011 gives 11000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 11000011011011.

It is not an unprimeable number, because it can be changed into a prime (11000011011019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19948835 + ... + 20492828.

It is an arithmetic number, because the mean of its divisors is an integer number (761920949760).

Almost surely, 2^{11000011011011} is an apocalyptic number.

11000011011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000011011011 is a deficient number, since it is larger than the sum of its proper divisors (1190724185149).

11000011011011 is a wasteful number, since it uses less digits than its factorization.

11000011011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40442066.

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

Adding to 11000011011011 its reverse (11011011000011), we get a palindrome (22011022011022).

The spelling of 11000011011011 in words is "eleven trillion, eleven million, eleven thousand, eleven".