11001000010011 has 8 divisors (see below), whose sum is σ = 16001454560064. Its totient is φ = 6667272733320.

The previous prime is 11001000010001. The next prime is 11001000010043.

11001000010011 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11001000010011 - 2⁶ = 11001000009947 is a prime.

11001000010011 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 (11001000010001) 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 7 ways as a sum of consecutive naturals, for example, 166681818301 + ... + 166681818366.

It is an arithmetic number, because the mean of its divisors is an integer number (2000181820008).

Almost surely, 2^{11001000010011} is an apocalyptic number.

11001000010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11001000010011 is a deficient number, since it is larger than the sum of its proper divisors (5000454550053).

11001000010011 is a wasteful number, since it uses less digits than its factorization.

11001000010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333363636681.

The product of its (nonzero) digits is 1, while the sum is 6.

It can be divided in two parts, 110010000 and 10011, that added together give a palindrome (110020011).

The spelling of 11001000010011 in words is "eleven trillion, one billion, ten thousand, eleven".