100313000321 has 2 divisors, whose sum is σ = 100313000322. Its totient is φ = 100313000320.

The previous prime is 100313000287. The next prime is 100313000353. The reversal of 100313000321 is 123000313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88618740721 + 11694259600 = 297689^2 + 108140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100313000321 is a prime.

It is a super-2 number, since 2×100313000321² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100313000296 and 100313000305.

It is not a weakly prime, because it can be changed into another prime (100310000321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156500160 + 50156500161.

It is an arithmetic number, because the mean of its divisors is an integer number (50156500161).

Almost surely, 2^100313000321 is an apocalyptic number.

It is an amenable number.

100313000321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100313000321 is an equidigital number, since it uses as much as digits as its factorization.

100313000321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100313000321 its reverse (123000313001), we get a palindrome (223313313322).

The spelling of 100313000321 in words is "one hundred billion, three hundred thirteen million, three hundred twenty-one", and thus it is an aban number.