11000001111011 has 12 divisors (see below), whose sum is σ = 12802140332856. Its totient is φ = 9411765654720.

The previous prime is 11000001110999. The next prime is 11000001111013. The reversal of 11000001111011 is 11011110000011.

It is not a de Polignac number, because 11000001111011 - 2⁶ = 11000001110947 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11000001111011.

It is not an unprimeable number, because it can be changed into a prime (11000001111013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2673795005 + ... + 2673799118.

It is an arithmetic number, because the mean of its divisors is an integer number (1066845027738).

Almost surely, 2^{11000001111011} is an apocalyptic number.

11000001111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000001111011 is a deficient number, since it is larger than the sum of its proper divisors (1802139221845).

11000001111011 is a wasteful number, since it uses less digits than its factorization.

11000001111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347594162 (or 5347594151 counting only the distinct ones).

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

Adding to 11000001111011 its reverse (11011110000011), we get a palindrome (22011111111022).

It can be divided in two parts, 110000011 and 11011, that multiplied together give a palindrome (1211210121121).

The spelling of 11000001111011 in words is "eleven trillion, one million, one hundred eleven thousand, eleven".