11011000011011 has 144 divisors (see below), whose sum is σ = 16058966774400. Its totient is φ = 7503015199680.

The previous prime is 11011000011001. The next prime is 11011000011023.

11011000011011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11011000011011 - 2²² = 11010995816707 is a prime.

11011000011011 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 11011000011011.

It is not an unprimeable number, because it can be changed into a prime (11011000011001) 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 143 ways as a sum of consecutive naturals, for example, 209391920 + ... + 209444498.

It is an arithmetic number, because the mean of its divisors is an integer number (111520602600).

Almost surely, 2^{11011000011011} is an apocalyptic number.

11011000011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011000011011 is a deficient number, since it is larger than the sum of its proper divisors (5047966763389).

11011000011011 is a wasteful number, since it uses less digits than its factorization.

11011000011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52671 (or 52629 counting only the distinct ones).

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

It can be divided in two parts, 110110000 and 11011, that multiplied together give a square (1212421210000 = 1101100²).

The spelling of 11011000011011 in words is "eleven trillion, eleven billion, eleven thousand, eleven".