131312413 has 2 divisors, whose sum is σ = 131312414. Its totient is φ = 131312412.

The previous prime is 131312399. The next prime is 131312417. The reversal of 131312413 is 314213131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66879684 + 64432729 = 8178^2 + 8027^2 .

It is an emirp because it is prime and its reverse (314213131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131312413 - 2¹³ = 131304221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131312417) 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, 65656206 + 65656207.

It is an arithmetic number, because the mean of its divisors is an integer number (65656207).

Almost surely, 2^131312413 is an apocalyptic number.

It is an amenable number.

131312413 is a deficient number, since it is larger than the sum of its proper divisors (1).

131312413 is an equidigital number, since it uses as much as digits as its factorization.

131312413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 131312413 is about 11459.1628402776. The cubic root of 131312413 is about 508.2787197322.

Adding to 131312413 its reverse (314213131), we get a palindrome (445525544).

The spelling of 131312413 in words is "one hundred thirty-one million, three hundred twelve thousand, four hundred thirteen".