100129013 has 4 divisors (see below), whose sum is σ = 100449228. Its totient is φ = 99808800.

The previous prime is 100128991. The next prime is 100129027. The reversal of 100129013 is 310921001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 49463089 + 50665924 = 7033^2 + 7118^2 .

It is a cyclic number.

It is not a de Polignac number, because 100129013 - 2⁶ = 100128949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100128982 and 100129000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100129033) 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 3 ways as a sum of consecutive naturals, for example, 159638 + ... + 160263.

It is an arithmetic number, because the mean of its divisors is an integer number (25112307).

Almost surely, 2^100129013 is an apocalyptic number.

It is an amenable number.

100129013 is a deficient number, since it is larger than the sum of its proper divisors (320215).

100129013 is an equidigital number, since it uses as much as digits as its factorization.

100129013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320214.

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

The square root of 100129013 is about 10006.4485707967. The cubic root of 100129013 is about 464.3584060159.

The spelling of 100129013 in words is "one hundred million, one hundred twenty-nine thousand, thirteen".