100012313 has 8 divisors (see below), whose sum is σ = 100728576. Its totient is φ = 99299200.

The previous prime is 100012301. The next prime is 100012337. The reversal of 100012313 is 313210001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100012313 - 2⁸ = 100012057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100012294 and 100012303.

It is not an unprimeable number, because it can be changed into a prime (100018313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109328 + ... + 110238.

It is an arithmetic number, because the mean of its divisors is an integer number (12591072).

Almost surely, 2^100012313 is an apocalyptic number.

It is an amenable number.

100012313 is a deficient number, since it is larger than the sum of its proper divisors (716263).

100012313 is an equidigital number, since it uses as much as digits as its factorization.

100012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 100012313 is about 10000.6156310499. The cubic root of 100012313 is about 464.1779332072.

Adding to 100012313 its reverse (313210001), we get a palindrome (413222314).

The spelling of 100012313 in words is "one hundred million, twelve thousand, three hundred thirteen".