3002321313113 has 2 divisors, whose sum is σ = 3002321313114. Its totient is φ = 3002321313112.

The previous prime is 3002321313097. The next prime is 3002321313119. The reversal of 3002321313113 is 3113131232003.

3002321313113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2967047590144 + 35273722969 = 1722512^2 + 187813^2 .

It is a cyclic number.

It is not a de Polignac number, because 3002321313113 - 2⁴ = 3002321313097 is a prime.

It is not a weakly prime, because it can be changed into another prime (3002321313119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1501160656556 + 1501160656557.

It is an arithmetic number, because the mean of its divisors is an integer number (1501160656557).

Almost surely, 2^{3002321313113} is an apocalyptic number.

It is an amenable number.

3002321313113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3002321313113 is an equidigital number, since it uses as much as digits as its factorization.

3002321313113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 3002321313113 its reverse (3113131232003), we get a palindrome (6115452545116).

The spelling of 3002321313113 in words is "three trillion, two billion, three hundred twenty-one million, three hundred thirteen thousand, one hundred thirteen".