131431 has 2 divisors, whose sum is σ = 131432. Its totient is φ = 131430.

The previous prime is 131413. The next prime is 131437. The reversal of 131431 is 134131.

Adding to 131431 its reverse (134131), we get a palindrome (265562).

It can be divided in two parts, 13 and 1431, that added together give a square (1444 = 38^{2}).

Together with previous prime (131413) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 131431 - 2^{7} = 131303 is a prime.

It is a super-2 number, since 2×131431^{2} = 34548215522, which contains 22 as substring.

131431 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65715 + 65716.

It is an arithmetic number, because the mean of its divisors is an integer number (65716).

2^{131431} is an apocalyptic number.

131431 is a deficient number, since it is larger than the sum of its proper divisors (1).

131431 is an equidigital number, since it uses as much as digits as its factorization.

131431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 13.

The square root of 131431 is about 362.5341363237. The cubic root of 131431 is about 50.8431680933.

The spelling of 131431 in words is "one hundred thirty-one thousand, four hundred thirty-one".

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