110311113011 has 12 divisors (see below), whose sum is σ = 121259132400. Its totient is φ = 100276152240.

The previous prime is 110311112987. The next prime is 110311113019.

110311113011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110311113011 - 2¹⁰ = 110311111987 is a prime.

It is a super-2 number, since 2×110311113011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110311113019) 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 11 ways as a sum of consecutive naturals, for example, 3279185 + ... + 3312653.

It is an arithmetic number, because the mean of its divisors is an integer number (10104927700).

Almost surely, 2^110311113011 is an apocalyptic number.

110311113011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110311113011 is a deficient number, since it is larger than the sum of its proper divisors (10948019389).

110311113011 is a wasteful number, since it uses less digits than its factorization.

110311113011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60730 (or 60719 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

It can be divided in two parts, 110311 and 113011, that added together give a palindrome (223322).

The spelling of 110311113011 in words is "one hundred ten billion, three hundred eleven million, one hundred thirteen thousand, eleven".