3202302123313 has 2 divisors, whose sum is σ = 3202302123314. Its totient is φ = 3202302123312.

The previous prime is 3202302123311. The next prime is 3202302123341. The reversal of 3202302123313 is 3133212032023.

3202302123313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2270831997184 + 931470126129 = 1506928^2 + 965127^2 .

It is a cyclic number.

It is not a de Polignac number, because 3202302123313 - 2¹ = 3202302123311 is a prime.

Together with 3202302123311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3202302123311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1601151061656 + 1601151061657.

It is an arithmetic number, because the mean of its divisors is an integer number (1601151061657).

Almost surely, 2^{3202302123313} is an apocalyptic number.

It is an amenable number.

3202302123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3202302123313 is an equidigital number, since it uses as much as digits as its factorization.

3202302123313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 3202302123313 its reverse (3133212032023), we get a palindrome (6335514155336).

The spelling of 3202302123313 in words is "three trillion, two hundred two billion, three hundred two million, one hundred twenty-three thousand, three hundred thirteen".