133033121333213 has 2 divisors, whose sum is σ = 133033121333214. Its totient is φ = 133033121333212.

The previous prime is 133033121333209. The next prime is 133033121333227. The reversal of 133033121333213 is 312333121330331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131489956146649 + 1543165186564 = 11466907^2 + 1242242^2 .

It is a cyclic number.

It is not a de Polignac number, because 133033121333213 - 2² = 133033121333209 is a prime.

It is a super-2 number, since 2×133033121333213² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133033121333213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133033121393213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66516560666606 + 66516560666607.

It is an arithmetic number, because the mean of its divisors is an integer number (66516560666607).

Almost surely, 2^{133033121333213} is an apocalyptic number.

It is an amenable number.

133033121333213 is a deficient number, since it is larger than the sum of its proper divisors (1).

133033121333213 is an equidigital number, since it uses as much as digits as its factorization.

133033121333213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 32.

Adding to 133033121333213 its reverse (312333121330331), we get a palindrome (445366242663544).

The spelling of 133033121333213 in words is "one hundred thirty-three trillion, thirty-three billion, one hundred twenty-one million, three hundred thirty-three thousand, two hundred thirteen".