100112313 has 8 divisors (see below), whose sum is σ = 152552128. Its totient is φ = 57207024.

The previous prime is 100112297. The next prime is 100112329. The reversal of 100112313 is 313211001.

It is an interprime number because it is at equal distance from previous prime (100112297) and next prime (100112329).

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

It is not a de Polignac number, because 100112313 - 2⁴ = 100112297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100112333) 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 in 7 ways as a sum of consecutive naturals, for example, 2383606 + ... + 2383647.

It is an arithmetic number, because the mean of its divisors is an integer number (19069016).

Almost surely, 2^100112313 is an apocalyptic number.

It is an amenable number.

100112313 is a deficient number, since it is larger than the sum of its proper divisors (52439815).

100112313 is an equidigital number, since it uses as much as digits as its factorization.

100112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767263.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100112313 is about 10005.6140741086. The cubic root of 100112313 is about 464.3325886019.

Adding to 100112313 its reverse (313211001), we get a palindrome (413323314).

The spelling of 100112313 in words is "one hundred million, one hundred twelve thousand, three hundred thirteen".