110011000110011 has 192 divisors, whose sum is σ = 159967238323200. Its totient is φ = 73396128706560.

The previous prime is 110011000110007. The next prime is 110011000110031.

110011000110011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110011000110011 - 2² = 110011000110007 is a prime.

110011000110011 is a strobogrammatic number because it is the same when read upside-down.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (110011000110031) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2092272920 + ... + 2092325498.

It is an arithmetic number, because the mean of its divisors is an integer number (833162699600).

Almost surely, 2^{110011000110011} is an apocalyptic number.

110011000110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110011000110011 is a deficient number, since it is larger than the sum of its proper divisors (49956238213189).

110011000110011 is a wasteful number, since it uses less digits than its factorization.

110011000110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52850 (or 52839 counting only the distinct ones).

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

It can be divided in two parts, 110011000 and 110011, that added together give a palindrome (110121011).

The spelling of 110011000110011 in words is "one hundred ten trillion, eleven billion, one hundred ten thousand, eleven".