1000120013 has 16 divisors (see below), whose sum is σ = 1109376000. Its totient is φ = 897292032.

The previous prime is 1000120007. The next prime is 1000120021. The reversal of 1000120013 is 3100210001.

It is a cyclic number.

It is not a de Polignac number, because 1000120013 - 2¹⁰ = 1000118989 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 (1000120073) 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 15 ways as a sum of consecutive naturals, for example, 26108 + ... + 51786.

It is an arithmetic number, because the mean of its divisors is an integer number (69336000).

Almost surely, 2^1000120013 is an apocalyptic number.

It is an amenable number.

1000120013 is a deficient number, since it is larger than the sum of its proper divisors (109255987).

1000120013 is a wasteful number, since it uses less digits than its factorization.

1000120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25804.

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

The square root of 1000120013 is about 31624.6741168980. The cubic root of 1000120013 is about 1000.0400027331.

Adding to 1000120013 its reverse (3100210001), we get a palindrome (4100330014).

The spelling of 1000120013 in words is "one billion, one hundred twenty thousand, thirteen".