100013129 has 8 divisors (see below), whose sum is σ = 101787840. Its totient is φ = 98254000.

The previous prime is 100013113. The next prime is 100013143. The reversal of 100013129 is 921310001.

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 100013129 - 2⁴ = 100013113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100013149) 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 7 ways as a sum of consecutive naturals, for example, 9452 + ... + 17010.

It is an arithmetic number, because the mean of its divisors is an integer number (12723480).

Almost surely, 2^100013129 is an apocalyptic number.

It is an amenable number.

100013129 is a deficient number, since it is larger than the sum of its proper divisors (1774711).

100013129 is a wasteful number, since it uses less digits than its factorization.

100013129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7791.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 100013129 is about 10000.6564284551. The cubic root of 100013129 is about 464.1791956123.

The spelling of 100013129 in words is "one hundred million, thirteen thousand, one hundred twenty-nine".