1288384313 has 4 divisors (see below), whose sum is σ = 1293730548. Its totient is φ = 1283038080.

The previous prime is 1288384291. The next prime is 1288384333. The reversal of 1288384313 is 3134838821.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3134838821 = 3461 ⋅905761.

It can be written as a sum of positive squares in 2 ways, for example, as 349390864 + 938993449 = 18692^2 + 30643^2 .

It is a cyclic number.

It is not a de Polignac number, because 1288384313 - 2⁸ = 1288384057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1288384333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2672756 + ... + 2673237.

It is an arithmetic number, because the mean of its divisors is an integer number (323432637).

Almost surely, 2^1288384313 is an apocalyptic number.

It is an amenable number.

1288384313 is a deficient number, since it is larger than the sum of its proper divisors (5346235).

1288384313 is an equidigital number, since it uses as much as digits as its factorization.

1288384313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346234.

The product of its digits is 110592, while the sum is 41.

The square root of 1288384313 is about 35894.0707220566. The cubic root of 1288384313 is about 1088.1325691012.

The spelling of 1288384313 in words is "one billion, two hundred eighty-eight million, three hundred eighty-four thousand, three hundred thirteen".