11000000011 has 48 divisors (see below), whose sum is σ = 15664633600. Its totient is φ = 7495519680.

The previous prime is 10999999999. The next prime is 11000000021.

11000000011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11000000011 - 2¹³ = 10999991819 is a prime.

11000000011 is a strobogrammatic number because it is the same when read upside-down.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11000000021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182920 + ... + 235498.

Almost surely, 2^11000000011 is an apocalyptic number.

11000000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000000011 is a deficient number, since it is larger than the sum of its proper divisors (4664633589).

11000000011 is a wasteful number, since it uses less digits than its factorization.

11000000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52640 (or 52629 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

It can be divided in two parts, 110000000 and 11, that added together give a palindrome (110000011).

The spelling of 11000000011 in words is "eleven billion, eleven", and thus it is an aban number and an uban number.