131414513 has 2 divisors, whose sum is σ = 131414514. Its totient is φ = 131414512.

The previous prime is 131414509. The next prime is 131414531. The reversal of 131414513 is 315414131.

It is a happy number.

Together with next prime (131414531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102556129 + 28858384 = 10127^2 + 5372^2 .

It is a cyclic number.

It is not a de Polignac number, because 131414513 - 2² = 131414509 is a prime.

It is not a weakly prime, because it can be changed into another prime (131416513) 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 as a sum of consecutive naturals, namely, 65707256 + 65707257.

It is an arithmetic number, because the mean of its divisors is an integer number (65707257).

Almost surely, 2^131414513 is an apocalyptic number.

It is an amenable number.

131414513 is a deficient number, since it is larger than the sum of its proper divisors (1).

131414513 is an equidigital number, since it uses as much as digits as its factorization.

131414513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 23.

The square root of 131414513 is about 11463.6169248628. The cubic root of 131414513 is about 508.4104204394.

Adding to 131414513 its reverse (315414131), we get a palindrome (446828644).

The spelling of 131414513 in words is "one hundred thirty-one million, four hundred fourteen thousand, five hundred thirteen".