11001000001101 has 24 divisors (see below), whose sum is σ = 16124029078752. Its totient is φ = 6666713882400.

The previous prime is 11001000001081. The next prime is 11001000001127. The reversal of 11001000001101 is 10110000010011.

11001000001101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11001000001101 - 2¹⁰ = 11001000000077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11001000001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001000001181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3087171 + ... + 5615391.

It is an arithmetic number, because the mean of its divisors is an integer number (671834544948).

Almost surely, 2^{11001000001101} is an apocalyptic number.

11001000001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001000001101 is a deficient number, since it is larger than the sum of its proper divisors (5123029077651).

11001000001101 is a wasteful number, since it uses less digits than its factorization.

11001000001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540233 (or 2540222 counting only the distinct ones).

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

Adding to 11001000001101 its reverse (10110000010011), we get a palindrome (21111000011112).

The spelling of 11001000001101 in words is "eleven trillion, one billion, one thousand, one hundred one".