13112321102221 has 24 divisors (see below), whose sum is σ = 15262207608312. Its totient is φ = 11217860121600.

The previous prime is 13112321102207. The next prime is 13112321102261. The reversal of 13112321102221 is 12220112321131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6498731646121 + 6613589456100 = 2549261^2 + 2571690^2 .

It is not a de Polignac number, because 13112321102221 - 2¹⁷ = 13112320971149 is a prime.

It is a super-2 number, since 2×13112321102221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13112321102192 and 13112321102201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112321102261) 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, 18538161 + ... + 19232473.

It is an arithmetic number, because the mean of its divisors is an integer number (635925317013).

Almost surely, 2^{13112321102221} is an apocalyptic number.

13112321102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13112321102221 is a deficient number, since it is larger than the sum of its proper divisors (2149886506091).

13112321102221 is a wasteful number, since it uses less digits than its factorization.

13112321102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703533 (or 703522 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 13112321102221 its reverse (12220112321131), we get a palindrome (25332433423352).

The spelling of 13112321102221 in words is "thirteen trillion, one hundred twelve billion, three hundred twenty-one million, one hundred two thousand, two hundred twenty-one".