11001111001011 has 16 divisors (see below), whose sum is σ = 17006548408320. Its totient is φ = 7015201217640.

The previous prime is 11001111000991. The next prime is 11001111001019. The reversal of 11001111001011 is 11010011110011.

It is not a de Polignac number, because 11001111001011 - 2⁹ = 11001111000499 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 = 11001111000984 and 11001111001002.

It is not an unprimeable number, because it can be changed into a prime (11001111001019) 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 15 ways as a sum of consecutive naturals, for example, 8857576675 + ... + 8857577916.

It is an arithmetic number, because the mean of its divisors is an integer number (1062909275520).

Almost surely, 2^{11001111001011} is an apocalyptic number.

11001111001011 is a deficient number, since it is larger than the sum of its proper divisors (6005437407309).

11001111001011 is a wasteful number, since it uses less digits than its factorization.

11001111001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17715154623 (or 17715154617 counting only the distinct ones).

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

Adding to 11001111001011 its reverse (11010011110011), we get a palindrome (22011122111022).

The spelling of 11001111001011 in words is "eleven trillion, one billion, one hundred eleven million, one thousand, eleven".