1000313322313 has 4 divisors (see below), whose sum is σ = 1001724202180. Its totient is φ = 998902442448.

The previous prime is 1000313322299. The next prime is 1000313322347. The reversal of 1000313322313 is 3132233130001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 470173518864 + 530139803449 = 685692^2 + 728107^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000313322313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000313322353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 705438870 + ... + 705440287.

It is an arithmetic number, because the mean of its divisors is an integer number (250431050545).

Almost surely, 2^{1000313322313} is an apocalyptic number.

It is an amenable number.

1000313322313 is a deficient number, since it is larger than the sum of its proper divisors (1410879867).

1000313322313 is an equidigital number, since it uses as much as digits as its factorization.

1000313322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410879866.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1000313322313 its reverse (3132233130001), we get a palindrome (4132546452314).

It can be divided in two parts, 1000 and 313322313, that added together give a palindrome (313323313).

The spelling of 1000313322313 in words is "one trillion, three hundred thirteen million, three hundred twenty-two thousand, three hundred thirteen".