2202302122313 has 2 divisors, whose sum is σ = 2202302122314. Its totient is φ = 2202302122312.

The previous prime is 2202302122303. The next prime is 2202302122337. The reversal of 2202302122313 is 3132212032022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2201638699264 + 663423049 = 1483792^2 + 25757^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202302122313 - 2²⁸ = 2202033686857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2202302122303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101151061156 + 1101151061157.

It is an arithmetic number, because the mean of its divisors is an integer number (1101151061157).

Almost surely, 2^{2202302122313} is an apocalyptic number.

It is an amenable number.

2202302122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202302122313 is an equidigital number, since it uses as much as digits as its factorization.

2202302122313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2202302122313 its reverse (3132212032022), we get a palindrome (5334514154335).

The spelling of 2202302122313 in words is "two trillion, two hundred two billion, three hundred two million, one hundred twenty-two thousand, three hundred thirteen".