131111113 has 6 divisors (see below), whose sum is σ = 152517066. Its totient is φ = 112380912.

The previous prime is 131111111. The next prime is 131111119. The reversal of 131111113 is 311111131.

It can be written as a sum of positive squares in only one way, i.e., 114854089 + 16257024 = 10717^2 + 4032^2 .

It is not a de Polignac number, because 131111113 - 2¹ = 131111111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131111093 and 131111102.

It is not an unprimeable number, because it can be changed into a prime (131111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1337820 + ... + 1337917.

It is an arithmetic number, because the mean of its divisors is an integer number (25419511).

Almost surely, 2^131111113 is an apocalyptic number.

It is an amenable number.

131111113 is a deficient number, since it is larger than the sum of its proper divisors (21405953).

131111113 is an equidigital number, since it uses as much as digits as its factorization.

131111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675751 (or 2675744 counting only the distinct ones).

The product of its digits is 9, while the sum is 13.

The square root of 131111113 is about 11450.3761073600. The cubic root of 131111113 is about 508.0188589626.

Adding to 131111113 its reverse (311111131), we get a palindrome (442222244).

The spelling of 131111113 in words is "one hundred thirty-one million, one hundred eleven thousand, one hundred thirteen".