13021220013201 has 24 divisors (see below), whose sum is σ = 18901477314720. Its totient is φ = 8637925161600.

The previous prime is 13021220013161. The next prime is 13021220013209. The reversal of 13021220013201 is 10231002212031.

13021220013201 is a `hidden beast` number, since 130 + 2 + 12 + 200 + 1 + 320 + 1 = 666.

It is not a de Polignac number, because 13021220013201 - 2¹¹ = 13021220011153 is a prime.

It is a super-2 number, since 2×13021220013201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13021220013209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346606 + ... + 5114936.

It is an arithmetic number, because the mean of its divisors is an integer number (787561554780).

Almost surely, 2^{13021220013201} is an apocalyptic number.

It is an amenable number.

13021220013201 is a deficient number, since it is larger than the sum of its proper divisors (5880257301519).

13021220013201 is a wasteful number, since it uses less digits than its factorization.

13021220013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769837 (or 4769834 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13021220013201 its reverse (10231002212031), we get a palindrome (23252222225232).

The spelling of 13021220013201 in words is "thirteen trillion, twenty-one billion, two hundred twenty million, thirteen thousand, two hundred one".