100010013 has 16 divisors (see below), whose sum is σ = 135198336. Its totient is φ = 65753280.

The previous prime is 100009979. The next prime is 100010017. The reversal of 100010013 is 310010001.

It is not a de Polignac number, because 100010013 - 2⁸ = 100009757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100009983 and 100010010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010017) 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 15 ways as a sum of consecutive naturals, for example, 97443 + ... + 98463.

It is an arithmetic number, because the mean of its divisors is an integer number (8449896).

Almost surely, 2^100010013 is an apocalyptic number.

It is an amenable number.

100010013 is a deficient number, since it is larger than the sum of its proper divisors (35188323).

100010013 is a wasteful number, since it uses less digits than its factorization.

100010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 100010013 is about 10000.5006374681. The cubic root of 100010013 is about 464.1743749206.

Adding to 100010013 its reverse (310010001), we get a palindrome (410020014).

The spelling of 100010013 in words is "one hundred million, ten thousand, thirteen".