131211305 has 16 divisors (see below), whose sum is σ = 163074384. Its totient is φ = 101287680.

The previous prime is 131211281. The next prime is 131211307. The reversal of 131211305 is 503112131.

It can be written as a sum of positive squares in 8 ways, for example, as 63001 + 131148304 = 251^2 + 11452^2 .

It is not a de Polignac number, because 131211305 - 2²⁰ = 130162729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131211307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12107 + ... + 20223.

It is an arithmetic number, because the mean of its divisors is an integer number (10192149).

Almost surely, 2^131211305 is an apocalyptic number.

It is an amenable number.

131211305 is a deficient number, since it is larger than the sum of its proper divisors (31863079).

131211305 is an equidigital number, since it uses as much as digits as its factorization.

131211305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 131211305 is about 11454.7503246470. The cubic root of 131211305 is about 508.1482313310.

Adding to 131211305 its reverse (503112131), we get a palindrome (634323436).

The spelling of 131211305 in words is "one hundred thirty-one million, two hundred eleven thousand, three hundred five".