11001011000001 has 96 divisors (see below), whose sum is σ = 16943801978880. Its totient is φ = 6332009376000.

The previous prime is 11001010999991. The next prime is 11001011000009. The reversal of 11001011000001 is 10000011010011.

It is not a de Polignac number, because 11001011000001 - 2⁷ = 11001010999873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11001011000009) 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 95 ways as a sum of consecutive naturals, for example, 759259165 + ... + 759273653.

It is an arithmetic number, because the mean of its divisors is an integer number (176497937280).

Almost surely, 2^{11001011000001} is an apocalyptic number.

11001011000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001011000001 is a deficient number, since it is larger than the sum of its proper divisors (5942790978879).

11001011000001 is a wasteful number, since it uses less digits than its factorization.

11001011000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15179 (or 15168 counting only the distinct ones).

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

Adding to 11001011000001 its reverse (10000011010011), we get a palindrome (21001022010012).

It can be divided in two parts, 1100 and 1011000001, that added together give a palindrome (1011001101).

The spelling of 11001011000001 in words is "eleven trillion, one billion, eleven million, one", and thus it is an aban number and an uban number.