110001101111011 has 16 divisors (see below), whose sum is σ = 121450124113920. Its totient is φ = 98793627269920.

The previous prime is 110001101110949. The next prime is 110001101111021. The reversal of 110001101111011 is 110111101100011.

It is a happy number.

It is not a de Polignac number, because 110001101111011 - 2¹¹ = 110001101108963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110001101111021) 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 15 ways as a sum of consecutive naturals, for example, 34404201 + ... + 37465333.

It is an arithmetic number, because the mean of its divisors is an integer number (7590632757120).

Almost surely, 2^{110001101111011} is an apocalyptic number.

110001101111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110001101111011 is a deficient number, since it is larger than the sum of its proper divisors (11449023002909).

110001101111011 is a wasteful number, since it uses less digits than its factorization.

110001101111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100586.

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

Adding to 110001101111011 its reverse (110111101100011), we get a palindrome (220112202211022).

It can be divided in two parts, 11000110 and 1111011, that added together give a palindrome (12111121).

The spelling of 110001101111011 in words is "one hundred ten trillion, one billion, one hundred one million, one hundred eleven thousand, eleven".