100122313 has 2 divisors, whose sum is σ = 100122314. Its totient is φ = 100122312.

The previous prime is 100122301. The next prime is 100122349. The reversal of 100122313 is 313221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93083904 + 7038409 = 9648^2 + 2653^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122293 and 100122302.

It is not a weakly prime, because it can be changed into another prime (190122313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061156 + 50061157.

It is an arithmetic number, because the mean of its divisors is an integer number (50061157).

Almost surely, 2^100122313 is an apocalyptic number.

It is an amenable number.

100122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122313 is an equidigital number, since it uses as much as digits as its factorization.

100122313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 100122313 is about 10006.1137810840. The cubic root of 100122313 is about 464.3480484761.

Adding to 100122313 its reverse (313221001), we get a palindrome (413343314).

The spelling of 100122313 in words is "one hundred million, one hundred twenty-two thousand, three hundred thirteen".