10220103301313 has 2 divisors, whose sum is σ = 10220103301314. Its totient is φ = 10220103301312.

The previous prime is 10220103301279. The next prime is 10220103301321. The reversal of 10220103301313 is 31310330102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10190287681729 + 29815619584 = 3192223^2 + 172672^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220103301313 - 2¹⁰ = 10220103300289 is a prime.

It is a super-2 number, since 2×10220103301313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10220103303313) 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, 5110051650656 + 5110051650657.

It is an arithmetic number, because the mean of its divisors is an integer number (5110051650657).

Almost surely, 2^{10220103301313} is an apocalyptic number.

It is an amenable number.

10220103301313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220103301313 is an equidigital number, since it uses as much as digits as its factorization.

10220103301313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10220103301313 its reverse (31310330102201), we get a palindrome (41530433403514).

The spelling of 10220103301313 in words is "ten trillion, two hundred twenty billion, one hundred three million, three hundred one thousand, three hundred thirteen".