13101020113221 has 24 divisors (see below), whose sum is σ = 19578956042880. Its totient is φ = 8431669231776.

The previous prime is 13101020113219. The next prime is 13101020113261. The reversal of 13101020113221 is 12231102010131.

13101020113221 is a `hidden beast` number, since 1 + 310 + 1 + 0 + 20 + 11 + 322 + 1 = 666.

13101020113221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13101020113221 - 2¹ = 13101020113219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13101020113194 and 13101020113203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101020113261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1601385 + ... + 5363438.

It is an arithmetic number, because the mean of its divisors is an integer number (815789835120).

Almost surely, 2^{13101020113221} is an apocalyptic number.

It is an amenable number.

13101020113221 is a deficient number, since it is larger than the sum of its proper divisors (6477935929659).

13101020113221 is a wasteful number, since it uses less digits than its factorization.

13101020113221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6972065 (or 6972062 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13101020113221 its reverse (12231102010131), we get a palindrome (25332122123352).

The spelling of 13101020113221 in words is "thirteen trillion, one hundred one billion, twenty million, one hundred thirteen thousand, two hundred twenty-one".