11001101001011 has 12 divisors (see below), whose sum is σ = 12092722274976. Its totient is φ = 10000502194320.

The previous prime is 11001101001001. The next prime is 11001101001013. The reversal of 11001101001011 is 11010010110011.

It is not a de Polignac number, because 11001101001011 - 2¹⁸ = 11001100738867 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 11001101001011.

It is not an unprimeable number, because it can be changed into a prime (11001101001013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180485 + ... + 4694121.

It is an arithmetic number, because the mean of its divisors is an integer number (1007726856248).

Almost surely, 2^{11001101001011} is an apocalyptic number.

11001101001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11001101001011 is a deficient number, since it is larger than the sum of its proper divisors (1091621273965).

11001101001011 is a wasteful number, since it uses less digits than its factorization.

11001101001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533802 (or 4533791 counting only the distinct ones).

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

Adding to 11001101001011 its reverse (11010010110011), we get a palindrome (22011111111022).

The spelling of 11001101001011 in words is "eleven trillion, one billion, one hundred one million, one thousand, eleven".