11000111100111 has 48 divisors (see below), whose sum is σ = 18651069558784. Its totient is φ = 6115441125312.

The previous prime is 11000111100089. The next prime is 11000111100137. The reversal of 11000111100111 is 11100111100011.

It is not a de Polignac number, because 11000111100111 - 2⁶ = 11000111100047 is a prime.

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

It is a Duffinian number.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11000111100093 and 11000111100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000111100211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32800500 + ... + 33134166.

Almost surely, 2^{11000111100111} is an apocalyptic number.

11000111100111 is a deficient number, since it is larger than the sum of its proper divisors (7650958458673).

11000111100111 is a wasteful number, since it uses less digits than its factorization.

11000111100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347860 (or 347857 counting only the distinct ones).

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

Adding to 11000111100111 its reverse (11100111100011), we get a palindrome (22100222200122).

It can be divided in two parts, 11000 and 111100111, that added together give a palindrome (111111111).

The spelling of 11000111100111 in words is "eleven trillion, one hundred eleven million, one hundred thousand, one hundred eleven".