1310513329 has 2 divisors, whose sum is σ = 1310513330. Its totient is φ = 1310513328.

The previous prime is 1310513293. The next prime is 1310513333. The reversal of 1310513329 is 9233150131.

Together with previous prime (1310513293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 706336929 + 604176400 = 26577^2 + 24580^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310513329 - 2¹³ = 1310505137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310513297 and 1310513306.

It is not a weakly prime, because it can be changed into another prime (1310513929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655256664 + 655256665.

It is an arithmetic number, because the mean of its divisors is an integer number (655256665).

Almost surely, 2^1310513329 is an apocalyptic number.

It is an amenable number.

1310513329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310513329 is an equidigital number, since it uses as much as digits as its factorization.

1310513329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 1310513329 is about 36201.0128173232. The cubic root of 1310513329 is about 1094.3270829214.

The spelling of 1310513329 in words is "one billion, three hundred ten million, five hundred thirteen thousand, three hundred twenty-nine".