1100011011011 has 24 divisors (see below), whose sum is σ = 1273665296400. Its totient is φ = 946689163200.

The previous prime is 1100011010947. The next prime is 1100011011041. The reversal of 1100011011011 is 1101101100011.

It is not a de Polignac number, because 1100011011011 - 2⁶ = 1100011010947 is a prime.

1100011011011 is a modest number, since divided by 11011011 gives 1100 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1100011011011.

It is not an unprimeable number, because it can be changed into a prime (1100011011041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3001685 + ... + 3348153.

It is an arithmetic number, because the mean of its divisors is an integer number (53069387350).

Almost surely, 2^{1100011011011} is an apocalyptic number.

1100011011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100011011011 is a deficient number, since it is larger than the sum of its proper divisors (173654285389).

1100011011011 is a wasteful number, since it uses less digits than its factorization.

1100011011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347891 (or 347880 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1100011011011 its reverse (1101101100011), we get a palindrome (2201112111022).

It can be divided in two parts, 11000 and 11011011, that added together give a palindrome (11022011).

The spelling of 1100011011011 in words is "one trillion, one hundred billion, eleven million, eleven thousand, eleven".