111331141133111 has 16 divisors (see below), whose sum is σ = 115994141303040. Its totient is φ = 106724999082240.

The previous prime is 111331141133087. The next prime is 111331141133119.

111331141133111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 111331141133111 - 2¹⁸ = 111331140870967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111331141133119) 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, 13949351 + ... + 20426616.

It is an arithmetic number, because the mean of its divisors is an integer number (7249633831440).

Almost surely, 2^{111331141133111} is an apocalyptic number.

111331141133111 is a deficient number, since it is larger than the sum of its proper divisors (4663000169929).

111331141133111 is a wasteful number, since it uses less digits than its factorization.

111331141133111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34376794.

The product of its digits is 324, while the sum is 26.

The spelling of 111331141133111 in words is "one hundred eleven trillion, three hundred thirty-one billion, one hundred forty-one million, one hundred thirty-three thousand, one hundred eleven".