33442123124441 has 2 divisors, whose sum is σ = 33442123124442. Its totient is φ = 33442123124440.

The previous prime is 33442123124387. The next prime is 33442123124533. The reversal of 33442123124441 is 14442132124433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24187166622025 + 9254956502416 = 4918045^2 + 3042196^2 .

It is a cyclic number.

It is not a de Polignac number, because 33442123124441 - 2¹⁰ = 33442123123417 is a prime.

It is a super-2 number, since 2×33442123124441² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33442123124395 and 33442123124404.

It is not a weakly prime, because it can be changed into another prime (33442123124941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16721061562220 + 16721061562221.

It is an arithmetic number, because the mean of its divisors is an integer number (16721061562221).

Almost surely, 2^{33442123124441} is an apocalyptic number.

It is an amenable number.

33442123124441 is a deficient number, since it is larger than the sum of its proper divisors (1).

33442123124441 is an equidigital number, since it uses as much as digits as its factorization.

33442123124441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 221184, while the sum is 38.

Adding to 33442123124441 its reverse (14442132124433), we get a palindrome (47884255248874).

The spelling of 33442123124441 in words is "thirty-three trillion, four hundred forty-two billion, one hundred twenty-three million, one hundred twenty-four thousand, four hundred forty-one".