11001000101011 has 8 divisors (see below), whose sum is σ = 11181401340048. Its totient is φ = 10820600700000.

The previous prime is 11001000101009. The next prime is 11001000101071. The reversal of 11001000101011 is 11010100010011.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 11001000101011 - 2¹ = 11001000101009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11001000100985 and 11001000101003.

It is not an unprimeable number, because it can be changed into a prime (11001000101071) 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 7 ways as a sum of consecutive naturals, for example, 17009661 + ... + 17644561.

It is an arithmetic number, because the mean of its divisors is an integer number (1397675167506).

Almost surely, 2^{11001000101011} is an apocalyptic number.

11001000101011 is a deficient number, since it is larger than the sum of its proper divisors (180401239037).

11001000101011 is an equidigital number, since it uses as much as digits as its factorization.

11001000101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919013.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11001000101011 its reverse (11010100010011), we get a palindrome (22011100111022).

The spelling of 11001000101011 in words is "eleven trillion, one billion, one hundred one thousand, eleven".