100120013 has 8 divisors (see below), whose sum is σ = 114484800. Its totient is φ = 85770720.

The previous prime is 100120003. The next prime is 100120037. The reversal of 100120013 is 310021001.

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

It is not a de Polignac number, because 100120013 - 2⁴ = 100119997 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 (100120003) 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, 18998 + ... + 23688.

It is an arithmetic number, because the mean of its divisors is an integer number (14310600).

Almost surely, 2^100120013 is an apocalyptic number.

It is an amenable number.

100120013 is a deficient number, since it is larger than the sum of its proper divisors (14364787).

100120013 is an equidigital number, since it uses as much as digits as its factorization.

100120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100120013 is about 10005.9988506895. The cubic root of 100120013 is about 464.3444927961.

Adding to 100120013 its reverse (310021001), we get a palindrome (410141014).

The spelling of 100120013 in words is "one hundred million, one hundred twenty thousand, thirteen".