131410214112349 has 2 divisors, whose sum is σ = 131410214112350. Its totient is φ = 131410214112348.

The previous prime is 131410214112251. The next prime is 131410214112361. The reversal of 131410214112349 is 943211412014131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107056166772025 + 24354047340324 = 10346795^2 + 4934982^2 .

It is a cyclic number.

It is not a de Polignac number, because 131410214112349 - 2⁹ = 131410214111837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131410214112949) 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, 65705107056174 + 65705107056175.

It is an arithmetic number, because the mean of its divisors is an integer number (65705107056175).

Almost surely, 2^{131410214112349} is an apocalyptic number.

It is an amenable number.

131410214112349 is a deficient number, since it is larger than the sum of its proper divisors (1).

131410214112349 is an equidigital number, since it uses as much as digits as its factorization.

131410214112349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 131410214112349 in words is "one hundred thirty-one trillion, four hundred ten billion, two hundred fourteen million, one hundred twelve thousand, three hundred forty-nine".