120100013 has 8 divisors (see below), whose sum is σ = 131098176. Its totient is φ = 109115200.

The previous prime is 120100003. The next prime is 120100027. The reversal of 120100013 is 310001021.

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 120100013 - 2⁶ = 120099949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100003) 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, 30053 + ... + 33813.

It is an arithmetic number, because the mean of its divisors is an integer number (16387272).

Almost surely, 2^120100013 is an apocalyptic number.

It is an amenable number.

120100013 is a deficient number, since it is larger than the sum of its proper divisors (10998163).

120100013 is a wasteful number, since it uses less digits than its factorization.

120100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675.

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

The square root of 120100013 is about 10959.0151473570. The cubic root of 120100013 is about 493.3794064084.

Adding to 120100013 its reverse (310001021), we get a palindrome (430101034).

The spelling of 120100013 in words is "one hundred twenty million, one hundred thousand, thirteen".