13321123221321 has 32 divisors (see below), whose sum is σ = 20273172550400. Its totient is φ = 8638683592320.

The previous prime is 13321123221283. The next prime is 13321123221337. The reversal of 13321123221321 is 12312232112331.

13321123221321 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 12 + 322 + 1 + 321 = 666.

It is not a de Polignac number, because 13321123221321 - 2¹⁹ = 13321122697033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13321123221121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2650965 + ... + 5802573.

It is an arithmetic number, because the mean of its divisors is an integer number (633536642200).

Almost surely, 2^{13321123221321} is an apocalyptic number.

It is an amenable number.

13321123221321 is a deficient number, since it is larger than the sum of its proper divisors (6952049329079).

13321123221321 is a wasteful number, since it uses less digits than its factorization.

13321123221321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155886 (or 3155880 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13321123221321 its reverse (12312232112331), we get a palindrome (25633355333652).

The spelling of 13321123221321 in words is "thirteen trillion, three hundred twenty-one billion, one hundred twenty-three million, two hundred twenty-one thousand, three hundred twenty-one".