100111313 has 8 divisors (see below), whose sum is σ = 101122560. Its totient is φ = 99105520.

The previous prime is 100111273. The next prime is 100111321. The reversal of 100111313 is 313111001.

It is a happy number.

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 100111313 - 2¹⁰ = 100110289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111294 and 100111303.

It is not an unprimeable number, because it can be changed into a prime (100111343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42203 + ... + 44511.

It is an arithmetic number, because the mean of its divisors is an integer number (12640320).

Almost surely, 2^100111313 is an apocalyptic number.

It is an amenable number.

100111313 is a deficient number, since it is larger than the sum of its proper divisors (1011247).

100111313 is a wasteful number, since it uses less digits than its factorization.

100111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 100111313 is about 10005.5641020384. The cubic root of 100111313 is about 464.3310425578.

Adding to 100111313 its reverse (313111001), we get a palindrome (413222314).

The spelling of 100111313 in words is "one hundred million, one hundred eleven thousand, three hundred thirteen".