1101111100011 has 32 divisors (see below), whose sum is σ = 1756982713920. Its totient is φ = 677520329472.

The previous prime is 1101111100007. The next prime is 1101111100039. The reversal of 1101111100011 is 1100011111011.

It is not a de Polignac number, because 1101111100011 - 2² = 1101111100007 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1101111099966 and 1101111100002.

It is not an unprimeable number, because it can be changed into a prime (1101111100051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2609305 + ... + 3001781.

It is an arithmetic number, because the mean of its divisors is an integer number (54905709810).

Almost surely, 2^{1101111100011} is an apocalyptic number.

1101111100011 is a deficient number, since it is larger than the sum of its proper divisors (655871613909).

1101111100011 is a wasteful number, since it uses less digits than its factorization.

1101111100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400492 (or 400486 counting only the distinct ones).

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

Adding to 1101111100011 its reverse (1100011111011), we get a palindrome (2201122211022).

It can be divided in two parts, 11011111000 and 11, that added together give a palindrome (11011111011).

The spelling of 1101111100011 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred thousand, eleven".