11010111101011 has 16 divisors (see below), whose sum is σ = 12191054629248. Its totient is φ = 9859190140800.

The previous prime is 11010111100997. The next prime is 11010111101071.

It is a happy number.

11010111101011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11010111101011 - 2¹¹ = 11010111098963 is a prime.

11010111101011 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (11010111101071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11656576 + ... + 12565666.

It is an arithmetic number, because the mean of its divisors is an integer number (761940914328).

Almost surely, 2^{11010111101011} is an apocalyptic number.

11010111101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11010111101011 is a deficient number, since it is larger than the sum of its proper divisors (1180943528237).

11010111101011 is a wasteful number, since it uses less digits than its factorization.

11010111101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925602.

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

It can be divided in two parts, 1101011 and 1101011, that added together give a palindrome (2202022).

The spelling of 11010111101011 in words is "eleven trillion, ten billion, one hundred eleven million, one hundred one thousand, eleven".