131412310324013 has 2 divisors, whose sum is σ = 131412310324014. Its totient is φ = 131412310324012.

The previous prime is 131412310323989. The next prime is 131412310324051. The reversal of 131412310324013 is 310423013214131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73363713128644 + 58048597195369 = 8565262^2 + 7618963^2 .

It is a cyclic number.

It is not a de Polignac number, because 131412310324013 - 2¹⁸ = 131412310061869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131412310324073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706155162006 + 65706155162007.

It is an arithmetic number, because the mean of its divisors is an integer number (65706155162007).

Almost surely, 2^{131412310324013} is an apocalyptic number.

It is an amenable number.

131412310324013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131412310324013 is an equidigital number, since it uses as much as digits as its factorization.

131412310324013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 131412310324013 its reverse (310423013214131), we get a palindrome (441835323538144).

The spelling of 131412310324013 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred ten million, three hundred twenty-four thousand, thirteen".