11001000100011 has 32 divisors (see below), whose sum is σ = 15012232132608. Its totient is φ = 7164065733120.

The previous prime is 11001000100009. The next prime is 11001000100049. The reversal of 11001000100011 is 11000100010011.

It is not a de Polignac number, because 11001000100011 - 2¹ = 11001000100009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11001000100091) 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 31 ways as a sum of consecutive naturals, for example, 12505930 + ... + 13356656.

It is an arithmetic number, because the mean of its divisors is an integer number (469132254144).

Almost surely, 2^{11001000100011} is an apocalyptic number.

11001000100011 is a deficient number, since it is larger than the sum of its proper divisors (4011232032597).

11001000100011 is a wasteful number, since it uses less digits than its factorization.

11001000100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851371.

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

Adding to 11001000100011 its reverse (11000100010011), we get a palindrome (22001100110022).

The spelling of 11001000100011 in words is "eleven trillion, one billion, one hundred thousand, eleven".