131100111 has 12 divisors (see below), whose sum is σ = 192940488. Its totient is φ = 85750704.

The previous prime is 131100103. The next prime is 131100113. The reversal of 131100111 is 111001131.

It is not a de Polignac number, because 131100111 - 2³ = 131100103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131100093 and 131100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131100113) 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 11 ways as a sum of consecutive naturals, for example, 136945 + ... + 137898.

It is an arithmetic number, because the mean of its divisors is an integer number (16078374).

Almost surely, 2^131100111 is an apocalyptic number.

131100111 is a deficient number, since it is larger than the sum of its proper divisors (61840377).

131100111 is a wasteful number, since it uses less digits than its factorization.

131100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274902 (or 274899 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 131100111 is about 11449.8956763806. The cubic root of 131100111 is about 508.0046486751.

Adding to 131100111 its reverse (111001131), we get a palindrome (242101242).

The spelling of 131100111 in words is "one hundred thirty-one million, one hundred thousand, one hundred eleven".