13300120103301 has 20 divisors (see below), whose sum is σ = 20050356630700. Its totient is φ = 8785400429376.

The previous prime is 13300120103287. The next prime is 13300120103341. The reversal of 13300120103301 is 10330102100331.

It is a happy number.

13300120103301 is a `hidden beast` number, since 1 + 3 + 300 + 1 + 20 + 10 + 330 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9574853394276 + 3725266709025 = 3094326^2 + 1930095^2 .

It is not a de Polignac number, because 13300120103301 - 2²⁵ = 13300086548869 is a prime.

It is a super-2 number, since 2×13300120103301² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300120103341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 753197656 + ... + 753215313.

It is an arithmetic number, because the mean of its divisors is an integer number (1002517831535).

Almost surely, 2^{13300120103301} is an apocalyptic number.

It is an amenable number.

13300120103301 is a deficient number, since it is larger than the sum of its proper divisors (6750236527399).

13300120103301 is a wasteful number, since it uses less digits than its factorization.

13300120103301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506413090 (or 1506413081 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13300120103301 its reverse (10330102100331), we get a palindrome (23630222203632).

The spelling of 13300120103301 in words is "thirteen trillion, three hundred billion, one hundred twenty million, one hundred three thousand, three hundred one".