100100013 has 8 divisors (see below), whose sum is σ = 143733408. Its totient is φ = 61599984.

The previous prime is 100099981. The next prime is 100100051. The reversal of 100100013 is 310001001.

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

It is not a de Polignac number, because 100100013 - 2⁵ = 100099981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100099974 and 100100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100053) 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, 1283295 + ... + 1283372.

It is an arithmetic number, because the mean of its divisors is an integer number (17966676).

Almost surely, 2^100100013 is an apocalyptic number.

100100013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100100013 is a deficient number, since it is larger than the sum of its proper divisors (43633395).

100100013 is a wasteful number, since it uses less digits than its factorization.

100100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566683.

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

The square root of 100100013 is about 10004.9994002998. Note that the first 3 decimals coincide. The cubic root of 100100013 is about 464.3135715446.

Adding to 100100013 its reverse (310001001), we get a palindrome (410101014).

The spelling of 100100013 in words is "one hundred million, one hundred thousand, thirteen".