111131161131111 has 24 divisors (see below), whose sum is σ = 165300805310592. Its totient is φ = 66346961854800.

The previous prime is 111131161131091. The next prime is 111131161131127.

111131161131111 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-111131161131111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111131161131311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2284650675 + ... + 2284699316.

It is an arithmetic number, because the mean of its divisors is an integer number (6887533554608).

Almost surely, 2^{111131161131111} is an apocalyptic number.

111131161131111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111131161131111 is a deficient number, since it is larger than the sum of its proper divisors (54169644179481).

111131161131111 is a wasteful number, since it uses less digits than its factorization.

111131161131111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569350083 (or 4569350072 counting only the distinct ones).

The product of its digits is 54, while the sum is 24.

The spelling of 111131161131111 in words is "one hundred eleven trillion, one hundred thirty-one billion, one hundred sixty-one million, one hundred thirty-one thousand, one hundred eleven".