2002330313 has 2 divisors, whose sum is σ = 2002330314. Its totient is φ = 2002330312.

The previous prime is 2002330279. The next prime is 2002330349. The reversal of 2002330313 is 3130332002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1645762624 + 356567689 = 40568^2 + 18883^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002330313 - 2¹⁰ = 2002329289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002330291 and 2002330300.

It is not a weakly prime, because it can be changed into another prime (2002360313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001165156 + 1001165157.

It is an arithmetic number, because the mean of its divisors is an integer number (1001165157).

Almost surely, 2^2002330313 is an apocalyptic number.

It is an amenable number.

2002330313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002330313 is an equidigital number, since it uses as much as digits as its factorization.

2002330313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 2002330313 is about 44747.4056566411. The cubic root of 2002330313 is about 1260.4101950341.

Adding to 2002330313 its reverse (3130332002), we get a palindrome (5132662315).

The spelling of 2002330313 in words is "two billion, two million, three hundred thirty thousand, three hundred thirteen".