33231220013221 has 2 divisors, whose sum is σ = 33231220013222. Its totient is φ = 33231220013220.

The previous prime is 33231220013219. The next prime is 33231220013249. The reversal of 33231220013221 is 12231002213233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32817018360996 + 414201652225 = 5728614^2 + 643585^2 .

It is a cyclic number.

It is not a de Polignac number, because 33231220013221 - 2¹ = 33231220013219 is a prime.

It is a super-2 number, since 2×33231220013221² (a number of 28 digits) contains 22 as substring.

Together with 33231220013219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33231220013291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16615610006610 + 16615610006611.

It is an arithmetic number, because the mean of its divisors is an integer number (16615610006611).

Almost surely, 2^{33231220013221} is an apocalyptic number.

It is an amenable number.

33231220013221 is a deficient number, since it is larger than the sum of its proper divisors (1).

33231220013221 is an equidigital number, since it uses as much as digits as its factorization.

33231220013221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 33231220013221 its reverse (12231002213233), we get a palindrome (45462222226454).

The spelling of 33231220013221 in words is "thirty-three trillion, two hundred thirty-one billion, two hundred twenty million, thirteen thousand, two hundred twenty-one".