111011011011011 has 8 divisors (see below), whose sum is σ = 111101850150000. Its totient is φ = 110920175009280.

The previous prime is 111011011010993. The next prime is 111011011011037. The reversal of 111011011011011 is 110110110110111.

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 111011011011011 - 2⁶ = 111011011010947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111011011010983 and 111011011011001.

It is not an unprimeable number, because it can be changed into a prime (111011011011071) 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 7 ways as a sum of consecutive naturals, for example, 72838100 + ... + 74346558.

It is an arithmetic number, because the mean of its divisors is an integer number (13887731268750).

Almost surely, 2^{111011011011011} is an apocalyptic number.

111011011011011 is a deficient number, since it is larger than the sum of its proper divisors (90839138989).

111011011011011 is a wasteful number, since it uses less digits than its factorization.

111011011011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568629.

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

Adding to 111011011011011 its reverse (110110110110111), we get a palindrome (221121121121122).

The spelling of 111011011011011 in words is "one hundred eleven trillion, eleven billion, eleven million, eleven thousand, eleven".