110131131011 has 16 divisors (see below), whose sum is σ = 120533557248. Its totient is φ = 99794272800.

The previous prime is 110131130987. The next prime is 110131131013.

110131131011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110131131011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110131131013) 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 15 ways as a sum of consecutive naturals, for example, 4822526 + ... + 4845308.

It is an arithmetic number, because the mean of its divisors is an integer number (7533347328).

Almost surely, 2^110131131011 is an apocalyptic number.

110131131011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110131131011 is a deficient number, since it is larger than the sum of its proper divisors (10402426237).

110131131011 is a wasteful number, since it uses less digits than its factorization.

110131131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24202.

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

It can be divided in two parts, 110131 and 131011, that added together give a palindrome (241142).

The spelling of 110131131011 in words is "one hundred ten billion, one hundred thirty-one million, one hundred thirty-one thousand, eleven".