133213223122321 has 2 divisors, whose sum is σ = 133213223122322. Its totient is φ = 133213223122320.

The previous prime is 133213223122241. The next prime is 133213223122361. The reversal of 133213223122321 is 123221322312331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67108274177296 + 66104948945025 = 8191964^2 + 8130495^2 .

It is a cyclic number.

It is not a de Polignac number, because 133213223122321 - 2⁹ = 133213223121809 is a prime.

It is a super-2 number, since 2×133213223122321² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133213223122361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66606611561160 + 66606611561161.

It is an arithmetic number, because the mean of its divisors is an integer number (66606611561161).

Almost surely, 2^{133213223122321} is an apocalyptic number.

It is an amenable number.

133213223122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

133213223122321 is an equidigital number, since it uses as much as digits as its factorization.

133213223122321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15552, while the sum is 31.

Adding to 133213223122321 its reverse (123221322312331), we get a palindrome (256434545434652).

The spelling of 133213223122321 in words is "one hundred thirty-three trillion, two hundred thirteen billion, two hundred twenty-three million, one hundred twenty-two thousand, three hundred twenty-one".