22333004332033 has 2 divisors, whose sum is σ = 22333004332034. Its totient is φ = 22333004332032.

The previous prime is 22333004331991. The next prime is 22333004332099. The reversal of 22333004332033 is 33023340033322.

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., 20678737622544 + 1654266709489 = 4547388^2 + 1286183^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22333004332033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22333004331986 and 22333004332004.

It is not a weakly prime, because it can be changed into another prime (22333004330033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11166502166016 + 11166502166017.

It is an arithmetic number, because the mean of its divisors is an integer number (11166502166017).

Almost surely, 2^{22333004332033} is an apocalyptic number.

It is an amenable number.

22333004332033 is a deficient number, since it is larger than the sum of its proper divisors (1).

22333004332033 is an equidigital number, since it uses as much as digits as its factorization.

22333004332033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 31.

Adding to 22333004332033 its reverse (33023340033322), we get a palindrome (55356344365355).

The spelling of 22333004332033 in words is "twenty-two trillion, three hundred thirty-three billion, four million, three hundred thirty-two thousand, thirty-three".