100003013 has 8 divisors (see below), whose sum is σ = 109892160. Its totient is φ = 90246880.

The previous prime is 100002979. The next prime is 100003021. The reversal of 100003013 is 310300001.

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 100003013 - 2¹⁴ = 99986629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100003063) 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, 31673 + ... + 34686.

It is an arithmetic number, because the mean of its divisors is an integer number (13736520).

Almost surely, 2^100003013 is an apocalyptic number.

It is an amenable number.

100003013 is a deficient number, since it is larger than the sum of its proper divisors (9889147).

100003013 is a wasteful number, since it uses less digits than its factorization.

100003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66507.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 100003013 is about 10000.1506488652. The cubic root of 100003013 is about 464.1635450168.

Adding to 100003013 its reverse (310300001), we get a palindrome (410303014).

The spelling of 100003013 in words is "one hundred million, three thousand, thirteen".