3002220312313 has 2 divisors, whose sum is σ = 3002220312314. Its totient is φ = 3002220312312.

The previous prime is 3002220312307. The next prime is 3002220312319. The reversal of 3002220312313 is 3132130222003.

It is a balanced prime because it is at equal distance from previous prime (3002220312307) and next prime (3002220312319).

It can be written as a sum of positive squares in only one way, i.e., 2994741003024 + 7479309289 = 1730532^2 + 86483^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3002220312313 is a prime.

It is not a weakly prime, because it can be changed into another prime (3002220312319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1501110156156 + 1501110156157.

It is an arithmetic number, because the mean of its divisors is an integer number (1501110156157).

Almost surely, 2^{3002220312313} is an apocalyptic number.

It is an amenable number.

3002220312313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3002220312313 is an equidigital number, since it uses as much as digits as its factorization.

3002220312313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 3002220312313 its reverse (3132130222003), we get a palindrome (6134350534316).

The spelling of 3002220312313 in words is "three trillion, two billion, two hundred twenty million, three hundred twelve thousand, three hundred thirteen".