110011011011011 has 16 divisors (see below), whose sum is σ = 120240272880000. Its totient is φ = 99819885052800.

The previous prime is 110011011010997. The next prime is 110011011011051. The reversal of 110011011011011 is 110110110110011.

It is a happy number.

It is not a de Polignac number, because 110011011011011 - 2²³ = 110011002622403 is a prime.

It is a Duffinian number.

110011011011011 is a modest number, since divided by 11011011 gives 110011 as remainder.

It is not an unprimeable number, because it can be changed into a prime (110011011011051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21515931 + ... + 26133451.

It is an arithmetic number, because the mean of its divisors is an integer number (7515017055000).

Almost surely, 2^{110011011011011} is an apocalyptic number.

110011011011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110011011011011 is a deficient number, since it is larger than the sum of its proper divisors (10229261868989).

110011011011011 is a wasteful number, since it uses less digits than its factorization.

110011011011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621650.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 110011011011011 its reverse (110110110110011), we get a palindrome (220121121121022).

It can be divided in two parts, 1100110 and 11011011, that added together give a palindrome (12111121).

The spelling of 110011011011011 in words is "one hundred ten trillion, eleven billion, eleven million, eleven thousand, eleven".