13020120013 has 8 divisors (see below), whose sum is σ = 13143630456. Its totient is φ = 12896755200.

The previous prime is 13020119993. The next prime is 13020120017. The reversal of 13020120013 is 31002102031.

It can be written as a sum of positive squares in 4 ways, for example, as 1771820649 + 11248299364 = 42093^2 + 106058^2 .

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 13020120013 - 2²⁹ = 12483249101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13020119975 and 13020120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020120017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147633 + ... + 218713.

It is an arithmetic number, because the mean of its divisors is an integer number (1642953807).

Almost surely, 2^13020120013 is an apocalyptic number.

It is an amenable number.

13020120013 is a deficient number, since it is larger than the sum of its proper divisors (123510443).

13020120013 is a wasteful number, since it uses less digits than its factorization.

13020120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72815.

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

Adding to 13020120013 its reverse (31002102031), we get a palindrome (44022222044).

The spelling of 13020120013 in words is "thirteen billion, twenty million, one hundred twenty thousand, thirteen".