131111305 has 16 divisors (see below), whose sum is σ = 178355520. Its totient is φ = 91723968.

The previous prime is 131111263. The next prime is 131111359. The reversal of 131111305 is 503111131.

It is a cyclic number.

It is not a de Polignac number, because 131111305 - 2⁷ = 131111177 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51847 + ... + 54316.

It is an arithmetic number, because the mean of its divisors is an integer number (11147220).

Almost surely, 2^131111305 is an apocalyptic number.

It is an amenable number.

131111305 is a deficient number, since it is larger than the sum of its proper divisors (47244215).

131111305 is a wasteful number, since it uses less digits than its factorization.

131111305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106200.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 131111305 is about 11450.3844913610. The cubic root of 131111305 is about 508.0191069446.

Adding to 131111305 its reverse (503111131), we get a palindrome (634222436).

The spelling of 131111305 in words is "one hundred thirty-one million, one hundred eleven thousand, three hundred five".