100320313 has 2 divisors, whose sum is σ = 100320314. Its totient is φ = 100320312.

The previous prime is 100320307. The next prime is 100320343. The reversal of 100320313 is 313023001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99840064 + 480249 = 9992^2 + 693^2 .

It is an emirp because it is prime and its reverse (313023001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100320313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100320293 and 100320302.

It is not a weakly prime, because it can be changed into another prime (100320343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50160156 + 50160157.

It is an arithmetic number, because the mean of its divisors is an integer number (50160157).

Almost surely, 2^100320313 is an apocalyptic number.

It is an amenable number.

100320313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100320313 is an equidigital number, since it uses as much as digits as its factorization.

100320313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 100320313 is about 10016.0028454469. The cubic root of 100320313 is about 464.6539422390.

Adding to 100320313 its reverse (313023001), we get a palindrome (413343314).

It can be divided in two parts, 1003 and 20313, that added together give a square (21316 = 146²).

The spelling of 100320313 in words is "one hundred million, three hundred twenty thousand, three hundred thirteen".