11001111111011 has 8 divisors (see below), whose sum is σ = 12575515544064. Its totient is φ = 9427410960840.

The previous prime is 11001111110999. The next prime is 11001111111127. The reversal of 11001111111011 is 11011111110011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11001111111011 - 2¹⁴ = 11001111094627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001111110983 and 11001111111001.

It is not an unprimeable number, because it can be changed into a prime (11001111111311) 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 7 ways as a sum of consecutive naturals, for example, 176037245 + ... + 176099726.

It is an arithmetic number, because the mean of its divisors is an integer number (1571939443008).

Almost surely, 2^{11001111111011} is an apocalyptic number.

11001111111011 is a deficient number, since it is larger than the sum of its proper divisors (1574404433053).

11001111111011 is an equidigital number, since it uses as much as digits as its factorization.

11001111111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352141441.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 11001111111011 its reverse (11011111110011), we get a palindrome (22012222221022).

It can be divided in two parts, 1100111 and 1111011, that added together give a palindrome (2211122).

The spelling of 11001111111011 in words is "eleven trillion, one billion, one hundred eleven million, one hundred eleven thousand, eleven".