3200321302313 has 2 divisors, whose sum is σ = 3200321302314. Its totient is φ = 3200321302312.

The previous prime is 3200321302261. The next prime is 3200321302363. The reversal of 3200321302313 is 3132031230023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2043861951769 + 1156459350544 = 1429637^2 + 1075388^2 .

It is a cyclic number.

It is not a de Polignac number, because 3200321302313 - 2²⁶ = 3200254193449 is a prime.

It is a super-3 number, since 3×3200321302313³ (a number of 38 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3200321302363) 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, 1600160651156 + 1600160651157.

It is an arithmetic number, because the mean of its divisors is an integer number (1600160651157).

Almost surely, 2^{3200321302313} is an apocalyptic number.

It is an amenable number.

3200321302313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3200321302313 is an equidigital number, since it uses as much as digits as its factorization.

3200321302313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 3200321302313 its reverse (3132031230023), we get a palindrome (6332352532336).

The spelling of 3200321302313 in words is "three trillion, two hundred billion, three hundred twenty-one million, three hundred two thousand, three hundred thirteen".