22002033133033 has 2 divisors, whose sum is σ = 22002033133034. Its totient is φ = 22002033133032.

The previous prime is 22002033132973. The next prime is 22002033133049. The reversal of 22002033133033 is 33033133020022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21242254180624 + 759778952409 = 4608932^2 + 871653^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22002033133033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22002033132989 and 22002033133007.

It is not a weakly prime, because it can be changed into another prime (22002033133933) 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, 11001016566516 + 11001016566517.

It is an arithmetic number, because the mean of its divisors is an integer number (11001016566517).

Almost surely, 2^{22002033133033} is an apocalyptic number.

It is an amenable number.

22002033133033 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002033133033 is an equidigital number, since it uses as much as digits as its factorization.

22002033133033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 22002033133033 its reverse (33033133020022), we get a palindrome (55035166153055).

The spelling of 22002033133033 in words is "twenty-two trillion, two billion, thirty-three million, one hundred thirty-three thousand, thirty-three".