11321221323321 has 288 divisors, whose sum is σ = 21766079462400. Its totient is φ = 5604638780160.

The previous prime is 11321221323263. The next prime is 11321221323337. The reversal of 11321221323321 is 12332312212311.

11321221323321 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 12 + 2 + 1 + 323 + 321 = 666.

It is not a de Polignac number, because 11321221323321 - 2⁷ = 11321221323193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11321221323121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6063856230 + ... + 6063858096.

It is an arithmetic number, because the mean of its divisors is an integer number (75576664800).

Almost surely, 2^{11321221323321} is an apocalyptic number.

It is an amenable number.

11321221323321 is a deficient number, since it is larger than the sum of its proper divisors (10444858139079).

11321221323321 is a wasteful number, since it uses less digits than its factorization.

11321221323321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2399 counting only the distinct ones).

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

Adding to 11321221323321 its reverse (12332312212311), we get a palindrome (23653533535632).

The spelling of 11321221323321 in words is "eleven trillion, three hundred twenty-one billion, two hundred twenty-one million, three hundred twenty-three thousand, three hundred twenty-one".