11001111001101 has 24 divisors (see below), whose sum is σ = 17126540795000. Its totient is φ = 6764494104576.

The previous prime is 11001111001081. The next prime is 11001111001117. The reversal of 11001111001101 is 10110011110011.

It can be written as a sum of positive squares in 4 ways, for example, as 184149123876 + 10816961877225 = 429126^2 + 3288915^2 .

It is not a de Polignac number, because 11001111001101 - 2¹³ = 11001110992909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001111001501) 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, 37494616 + ... + 37786881.

Almost surely, 2^{11001111001101} is an apocalyptic number.

It is an amenable number.

11001111001101 is a deficient number, since it is larger than the sum of its proper divisors (6125429793899).

11001111001101 is a wasteful number, since it uses less digits than its factorization.

11001111001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75282765 (or 75282762 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11001111001101 its reverse (10110011110011), we get a palindrome (21111122111112).

The spelling of 11001111001101 in words is "eleven trillion, one billion, one hundred eleven million, one thousand, one hundred one".