2213121333321 has 24 divisors (see below), whose sum is σ = 3286367295744. Its totient is φ = 1434459326400.

The previous prime is 2213121333301. The next prime is 2213121333403. The reversal of 2213121333321 is 1233331213122.

2213121333321 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 2 + 1 + 333 + 321 = 666.

It is not a de Polignac number, because 2213121333321 - 2¹⁰ = 2213121332297 is a prime.

It is a super-3 number, since 3×2213121333321³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2213121333301) 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, 17260516 + ... + 17388261.

It is an arithmetic number, because the mean of its divisors is an integer number (136931970656).

Almost surely, 2^{2213121333321} is an apocalyptic number.

It is an amenable number.

2213121333321 is a deficient number, since it is larger than the sum of its proper divisors (1073245962423).

2213121333321 is a wasteful number, since it uses less digits than its factorization.

2213121333321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34648981 (or 34648978 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2213121333321 its reverse (1233331213122), we get a palindrome (3446452546443).

The spelling of 2213121333321 in words is "two trillion, two hundred thirteen billion, one hundred twenty-one million, three hundred thirty-three thousand, three hundred twenty-one".