11111000001101 has 64 divisors (see below), whose sum is σ = 15075910080000. Its totient is φ = 7907580288000.

The previous prime is 11111000001089. The next prime is 11111000001131. The reversal of 11111000001101 is 10110000011111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11111000001101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111000001131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156569975 + ... + 156640923.

It is an arithmetic number, because the mean of its divisors is an integer number (235561095000).

Almost surely, 2^{11111000001101} is an apocalyptic number.

11111000001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11111000001101 is a deficient number, since it is larger than the sum of its proper divisors (3964910078899).

11111000001101 is a wasteful number, since it uses less digits than its factorization.

11111000001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72630.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11111000001101 its reverse (10110000011111), we get a palindrome (21221000012212).

The spelling of 11111000001101 in words is "eleven trillion, one hundred eleven billion, one thousand, one hundred one".