11011111011011 has 2 divisors, whose sum is σ = 11011111011012. Its totient is φ = 11011111011010.

The previous prime is 11011111010993. The next prime is 11011111011013. The reversal of 11011111011011 is 11011011111011.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11011111011011 - 2²² = 11011106816707 is a prime.

Together with 11011111011013, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011111010983 and 11011111011001.

It is not a weakly prime, because it can be changed into another prime (11011111011013) 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 as a sum of consecutive naturals, namely, 5505555505505 + 5505555505506.

It is an arithmetic number, because the mean of its divisors is an integer number (5505555505506).

Almost surely, 2^{11011111011011} is an apocalyptic number.

11011111011011 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011111011011 is an equidigital number, since it uses as much as digits as its factorization.

11011111011011 is an odious number, because the sum of its binary digits is odd.

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

Adding to 11011111011011 its reverse (11011011111011), we get a palindrome (22022122122022).

The spelling of 11011111011011 in words is "eleven trillion, eleven billion, one hundred eleven million, eleven thousand, eleven".