131434460411729 has 2 divisors, whose sum is σ = 131434460411730. Its totient is φ = 131434460411728.

The previous prime is 131434460411711. The next prime is 131434460411819. The reversal of 131434460411729 is 927114064434131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110507358013504 + 20927102398225 = 10512248^2 + 4574615^2 .

It is a cyclic number.

It is not a de Polignac number, because 131434460411729 - 2¹⁶ = 131434460346193 is a prime.

It is not a weakly prime, because it can be changed into another prime (131434460414729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65717230205864 + 65717230205865.

It is an arithmetic number, because the mean of its divisors is an integer number (65717230205865).

Almost surely, 2^{131434460411729} is an apocalyptic number.

It is an amenable number.

131434460411729 is a deficient number, since it is larger than the sum of its proper divisors (1).

131434460411729 is an equidigital number, since it uses as much as digits as its factorization.

131434460411729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 131434460411729 in words is "one hundred thirty-one trillion, four hundred thirty-four billion, four hundred sixty million, four hundred eleven thousand, seven hundred twenty-nine".