33313023222121 has 2 divisors, whose sum is σ = 33313023222122. Its totient is φ = 33313023222120.

The previous prime is 33313023222119. The next prime is 33313023222133. The reversal of 33313023222121 is 12122232031333.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21398617746496 + 11914405475625 = 4625864^2 + 3451725^2 .

It is a cyclic number.

It is not a de Polignac number, because 33313023222121 - 2¹ = 33313023222119 is a prime.

It is a super-2 number, since 2×33313023222121² (a number of 28 digits) contains 22 as substring.

Together with 33313023222119, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 33313023222121.

It is not a weakly prime, because it can be changed into another prime (33313023220121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16656511611060 + 16656511611061.

It is an arithmetic number, because the mean of its divisors is an integer number (16656511611061).

Almost surely, 2^{33313023222121} is an apocalyptic number.

It is an amenable number.

33313023222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33313023222121 is an equidigital number, since it uses as much as digits as its factorization.

33313023222121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 33313023222121 its reverse (12122232031333), we get a palindrome (45435255253454).

The spelling of 33313023222121 in words is "thirty-three trillion, three hundred thirteen billion, twenty-three million, two hundred twenty-two thousand, one hundred twenty-one".