120320001013 has 16 divisors (see below), whose sum is σ = 122762111472. Its totient is φ = 117893952000.

The previous prime is 120320001001. The next prime is 120320001019. The reversal of 120320001013 is 310100023021.

It can be written as a sum of positive squares in 8 ways, for example, as 18927430929 + 101392570084 = 137577^2 + 318422^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120320001013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120320000984 and 120320001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120320001019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18584745 + ... + 18591217.

It is an arithmetic number, because the mean of its divisors is an integer number (7672631967).

Almost surely, 2^120320001013 is an apocalyptic number.

It is an amenable number.

120320001013 is a deficient number, since it is larger than the sum of its proper divisors (2442110459).

120320001013 is an equidigital number, since it uses as much as digits as its factorization.

120320001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7656.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 120320001013 its reverse (310100023021), we get a palindrome (430420024034).

The spelling of 120320001013 in words is "one hundred twenty billion, three hundred twenty million, one thousand, thirteen".