100303312393 has 2 divisors, whose sum is σ = 100303312394. Its totient is φ = 100303312392.

The previous prime is 100303312391. The next prime is 100303312463. The reversal of 100303312393 is 393213303001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57796006464 + 42507305929 = 240408^2 + 206173^2 .

It is an emirp because it is prime and its reverse (393213303001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100303312393 - 2¹ = 100303312391 is a prime.

Together with 100303312391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100303312391) 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, 50151656196 + 50151656197.

It is an arithmetic number, because the mean of its divisors is an integer number (50151656197).

Almost surely, 2^100303312393 is an apocalyptic number.

It is an amenable number.

100303312393 is a deficient number, since it is larger than the sum of its proper divisors (1).

100303312393 is an equidigital number, since it uses as much as digits as its factorization.

100303312393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 100303312393 its reverse (393213303001), we get a palindrome (493516615394).

The spelling of 100303312393 in words is "one hundred billion, three hundred three million, three hundred twelve thousand, three hundred ninety-three".