1313305729 has 2 divisors, whose sum is σ = 1313305730. Its totient is φ = 1313305728.

The previous prime is 1313305667. The next prime is 1313305733. The reversal of 1313305729 is 9275033131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 805254129 + 508051600 = 28377^2 + 22540^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313305729 - 2¹¹ = 1313303681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313305694 and 1313305703.

It is not a weakly prime, because it can be changed into another prime (1313305769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656652864 + 656652865.

It is an arithmetic number, because the mean of its divisors is an integer number (656652865).

Almost surely, 2^1313305729 is an apocalyptic number.

It is an amenable number.

1313305729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313305729 is an equidigital number, since it uses as much as digits as its factorization.

1313305729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17010, while the sum is 34.

The square root of 1313305729 is about 36239.5602760298. The cubic root of 1313305729 is about 1095.1037839400.

The spelling of 1313305729 in words is "one billion, three hundred thirteen million, three hundred five thousand, seven hundred twenty-nine".