13220112321 has 24 divisors (see below), whose sum is σ = 21120426600. Its totient is φ = 7915574016.

The previous prime is 13220112319. The next prime is 13220112349. The reversal of 13220112321 is 12321102231.

13220112321 is a `hidden beast` number, since 13 + 220 + 112 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111007296 + 13109105025 = 10536^2 + 114495^2 .

It is not a de Polignac number, because 13220112321 - 2¹ = 13220112319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13220112294 and 13220112303.

It is not an unprimeable number, because it can be changed into a prime (13220512321) 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, 1522596 + ... + 1531253.

It is an arithmetic number, because the mean of its divisors is an integer number (880017775).

Almost surely, 2^13220112321 is an apocalyptic number.

It is an amenable number.

13220112321 is a deficient number, since it is larger than the sum of its proper divisors (7900314279).

13220112321 is a wasteful number, since it uses less digits than its factorization.

13220112321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053905 (or 3053902 counting only the distinct ones).

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

Adding to 13220112321 its reverse (12321102231), we get a palindrome (25541214552).

The spelling of 13220112321 in words is "thirteen billion, two hundred twenty million, one hundred twelve thousand, three hundred twenty-one".