1002323000313 has 24 divisors (see below), whose sum is σ = 1533092207400. Its totient is φ = 628856193024.

The previous prime is 1002323000297. The next prime is 1002323000317. The reversal of 1002323000313 is 3130003232001.

1002323000313 is a `hidden beast` number, since 100 + 23 + 230 + 0 + 0 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164241341289 + 838081659024 = 405267^2 + 915468^2 .

It is not a de Polignac number, because 1002323000313 - 2⁴ = 1002323000297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002323000317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1613673 + ... + 2146761.

It is an arithmetic number, because the mean of its divisors is an integer number (63878841975).

Almost surely, 2^{1002323000313} is an apocalyptic number.

It is an amenable number.

1002323000313 is a deficient number, since it is larger than the sum of its proper divisors (530769207087).

1002323000313 is a wasteful number, since it uses less digits than its factorization.

1002323000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545401 (or 545398 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1002323000313 its reverse (3130003232001), we get a palindrome (4132326232314).

The spelling of 1002323000313 in words is "one trillion, two billion, three hundred twenty-three million, three hundred thirteen", and thus it is an aban number.