11000001001101 has 96 divisors (see below), whose sum is σ = 17793472951296. Its totient is φ = 6020179200000.

The previous prime is 11000001001091. The next prime is 11000001001103. The reversal of 11000001001101 is 10110010000011.

It is not a de Polignac number, because 11000001001101 - 2⁶ = 11000001001037 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11000001001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000001001103) 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, 1745751651 + ... + 1745757951.

It is an arithmetic number, because the mean of its divisors is an integer number (185348676576).

Almost surely, 2^{11000001001101} is an apocalyptic number.

It is an amenable number.

11000001001101 is a deficient number, since it is larger than the sum of its proper divisors (6793471950195).

11000001001101 is a wasteful number, since it uses less digits than its factorization.

11000001001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243 (or 10236 counting only the distinct ones).

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

Adding to 11000001001101 its reverse (10110010000011), we get a palindrome (21110011001112).

The spelling of 11000001001101 in words is "eleven trillion, one million, one thousand, one hundred one".