11001011011011 has 24 divisors (see below), whose sum is σ = 18168257612544. Its totient is φ = 6283571762160.

The previous prime is 11001011010991. The next prime is 11001011011043. The reversal of 11001011011011 is 11011011010011.

It is not a de Polignac number, because 11001011011011 - 2²² = 11001006816707 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11001011010984 and 11001011011002.

It is not an unprimeable number, because it can be changed into a prime (11001011011061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37634421 + ... + 37925606.

It is an arithmetic number, because the mean of its divisors is an integer number (757010733856).

Almost surely, 2^{11001011011011} is an apocalyptic number.

11001011011011 is a deficient number, since it is larger than the sum of its proper divisors (7167246601533).

11001011011011 is a wasteful number, since it uses less digits than its factorization.

11001011011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75562351 (or 75562348 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11001011011011 its reverse (11011011010011), we get a palindrome (22012022021022).

It can be divided in two parts, 1100101 and 1011011, that added together give a palindrome (2111112).

The spelling of 11001011011011 in words is "eleven trillion, one billion, eleven million, eleven thousand, eleven".