11011011011011 has 32 divisors (see below), whose sum is σ = 12748797960192. Its totient is φ = 9415958400000.

The previous prime is 11011011010999. The next prime is 11011011011113.

It is a happy number.

11011011011011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11011011011011 - 2¹⁵ = 11011010978243 is a prime.

11011011011011 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R_{11011011011010}.

11011011011011 is a modest number, since divided by 11011011 gives 11011 as remainder.

It is not an unprimeable number, because it can be changed into a prime (11011011011311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2335771 + ... + 5241931.

It is an arithmetic number, because the mean of its divisors is an integer number (398399936256).

Almost surely, 2^{11011011011011} is an apocalyptic number.

11011011011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011011011011 is a deficient number, since it is larger than the sum of its proper divisors (1737786949181).

11011011011011 is a wasteful number, since it uses less digits than its factorization.

11011011011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906515.

The product of its (nonzero) digits is 1, while the sum is 10.

It can be divided in two parts, 1101101 and 1011011, that multiplied together give a palindrome (1113225223111).

The spelling of 11011011011011 in words is "eleven trillion, eleven billion, eleven million, eleven thousand, eleven".