103302313023313 has 2 divisors, whose sum is σ = 103302313023314. Its totient is φ = 103302313023312.

The previous prime is 103302313023257. The next prime is 103302313023341. The reversal of 103302313023313 is 313320313203301.

It is an a-pointer prime, because the next prime (103302313023341) can be obtained adding 103302313023313 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74179755396289 + 29122557627024 = 8612767^2 + 5396532^2 .

It is a cyclic number.

It is not a de Polignac number, because 103302313023313 - 2⁹ = 103302313022801 is a prime.

It is not a weakly prime, because it can be changed into another prime (103302313026313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51651156511656 + 51651156511657.

It is an arithmetic number, because the mean of its divisors is an integer number (51651156511657).

Almost surely, 2^{103302313023313} is an apocalyptic number.

It is an amenable number.

103302313023313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103302313023313 is an equidigital number, since it uses as much as digits as its factorization.

103302313023313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 103302313023313 its reverse (313320313203301), we get a palindrome (416622626226614).

The spelling of 103302313023313 in words is "one hundred three trillion, three hundred two billion, three hundred thirteen million, twenty-three thousand, three hundred thirteen".