1033122122233 has 2 divisors, whose sum is σ = 1033122122234. Its totient is φ = 1033122122232.

The previous prime is 1033122122161. The next prime is 1033122122239. The reversal of 1033122122233 is 3322212213301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 599963332329 + 433158789904 = 774573^2 + 658148^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1033122122233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1033122122198 and 1033122122207.

It is not a weakly prime, because it can be changed into another prime (1033122122239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516561061116 + 516561061117.

It is an arithmetic number, because the mean of its divisors is an integer number (516561061117).

Almost surely, 2^{1033122122233} is an apocalyptic number.

It is an amenable number.

1033122122233 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033122122233 is an equidigital number, since it uses as much as digits as its factorization.

1033122122233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1033122122233 its reverse (3322212213301), we get a palindrome (4355334335534).

The spelling of 1033122122233 in words is "one trillion, thirty-three billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred thirty-three".