100312321313 has 2 divisors, whose sum is σ = 100312321314. Its totient is φ = 100312321312.

The previous prime is 100312321297. The next prime is 100312321337. The reversal of 100312321313 is 313123213001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78269574289 + 22042747024 = 279767^2 + 148468^2 .

It is a cyclic number.

It is not a de Polignac number, because 100312321313 - 2⁴ = 100312321297 is a prime.

It is not a weakly prime, because it can be changed into another prime (100312321393) 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, 50156160656 + 50156160657.

It is an arithmetic number, because the mean of its divisors is an integer number (50156160657).

Almost surely, 2^100312321313 is an apocalyptic number.

It is an amenable number.

100312321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312321313 is an equidigital number, since it uses as much as digits as its factorization.

100312321313 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 100312321313 its reverse (313123213001), we get a palindrome (413435534314).

The spelling of 100312321313 in words is "one hundred billion, three hundred twelve million, three hundred twenty-one thousand, three hundred thirteen".