1310782841129 has 2 divisors, whose sum is σ = 1310782841130. Its totient is φ = 1310782841128.

The previous prime is 1310782841089. The next prime is 1310782841131. The reversal of 1310782841129 is 9211482870131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1307260656025 + 3522185104 = 1143355^2 + 59348^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310782841129 - 2³⁶ = 1242063364393 is a prime.

Together with 1310782841131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1310782841029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655391420564 + 655391420565.

It is an arithmetic number, because the mean of its divisors is an integer number (655391420565).

Almost surely, 2^{1310782841129} is an apocalyptic number.

It is an amenable number.

1310782841129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310782841129 is an equidigital number, since it uses as much as digits as its factorization.

1310782841129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 47.

The spelling of 1310782841129 in words is "one trillion, three hundred ten billion, seven hundred eighty-two million, eight hundred forty-one thousand, one hundred twenty-nine".