13201011320013 has 24 divisors (see below), whose sum is σ = 21518889930720. Its totient is φ = 7724729715360.

The previous prime is 13201011319877. The next prime is 13201011320017. The reversal of 13201011320013 is 31002311010231.

13201011320013 is a `hidden beast` number, since 1 + 320 + 1 + 0 + 11 + 320 + 0 + 13 = 666.

It is not a de Polignac number, because 13201011320013 - 2¹⁴ = 13201011303629 is a prime.

It is a super-2 number, since 2×13201011320013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201011320017) 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 23 ways as a sum of consecutive naturals, for example, 2299023831 + ... + 2299029572.

It is an arithmetic number, because the mean of its divisors is an integer number (896620413780).

Almost surely, 2^{13201011320013} is an apocalyptic number.

It is an amenable number.

13201011320013 is a deficient number, since it is larger than the sum of its proper divisors (8317878610707).

13201011320013 is a wasteful number, since it uses less digits than its factorization.

13201011320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598053449 (or 4598053446 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13201011320013 its reverse (31002311010231), we get a palindrome (44203322330244).

The spelling of 13201011320013 in words is "thirteen trillion, two hundred one billion, eleven million, three hundred twenty thousand, thirteen".