100001313 has 24 divisors (see below), whose sum is σ = 154150880. Its totient is φ = 62285760.

The previous prime is 100001303. The next prime is 100001329. The reversal of 100001313 is 313100001.

It is not a de Polignac number, because 100001313 - 2⁹ = 100000801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001295 and 100001304.

It is not an unprimeable number, because it can be changed into a prime (100001303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8478 + ... + 16488.

Almost surely, 2^100001313 is an apocalyptic number.

It is an amenable number.

100001313 is a deficient number, since it is larger than the sum of its proper divisors (54149567).

100001313 is a wasteful number, since it uses less digits than its factorization.

100001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109 (or 8106 counting only the distinct ones).

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

The square root of 100001313 is about 10000.0656497845. The cubic root of 100001313 is about 464.1609148211.

Adding to 100001313 its reverse (313100001), we get a palindrome (413101314).

It can be divided in two parts, 100001 and 313, that multiplied together give a palindrome (31300313).

The spelling of 100001313 in words is "one hundred million, one thousand, three hundred thirteen".