100100301022313 has 2 divisors, whose sum is σ = 100100301022314. Its totient is φ = 100100301022312.

The previous prime is 100100301022303. The next prime is 100100301022343. The reversal of 100100301022313 is 313220103001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51194783432809 + 48905517589504 = 7155053^2 + 6993248^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100301022313 - 2¹⁸ = 100100300760169 is a prime.

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 = 100100301022291 and 100100301022300.

It is not a weakly prime, because it can be changed into another prime (100100301022303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050150511156 + 50050150511157.

It is an arithmetic number, because the mean of its divisors is an integer number (50050150511157).

Almost surely, 2^{100100301022313} is an apocalyptic number.

It is an amenable number.

100100301022313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100301022313 is an equidigital number, since it uses as much as digits as its factorization.

100100301022313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100100301022313 its reverse (313220103001001), we get a palindrome (413320404023314).

The spelling of 100100301022313 in words is "one hundred trillion, one hundred billion, three hundred one million, twenty-two thousand, three hundred thirteen".