133123216216033 has 2 divisors, whose sum is σ = 133123216216034. Its totient is φ = 133123216216032.

The previous prime is 133123216216027. The next prime is 133123216216069. The reversal of 133123216216033 is 330612612321331.

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., 69716204242129 + 63407011973904 = 8349623^2 + 7962852^2 .

It is a cyclic number.

It is not a de Polignac number, because 133123216216033 - 2¹³ = 133123216207841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133123216215983 and 133123216216001.

It is not a weakly prime, because it can be changed into another prime (133123216214033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66561608108016 + 66561608108017.

It is an arithmetic number, because the mean of its divisors is an integer number (66561608108017).

Almost surely, 2^{133123216216033} is an apocalyptic number.

It is an amenable number.

133123216216033 is a deficient number, since it is larger than the sum of its proper divisors (1).

133123216216033 is an equidigital number, since it uses as much as digits as its factorization.

133123216216033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 37.

Adding to 133123216216033 its reverse (330612612321331), we get a palindrome (463735828537364).

The spelling of 133123216216033 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, two hundred sixteen million, two hundred sixteen thousand, thirty-three".