33122022133 has 2 divisors, whose sum is σ = 33122022134. Its totient is φ = 33122022132.

The previous prime is 33122022107. The next prime is 33122022181.

33122022133 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19549073124 + 13572949009 = 139818^2 + 116503^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33122022133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33122022103) 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, 16561011066 + 16561011067.

It is an arithmetic number, because the mean of its divisors is an integer number (16561011067).

Almost surely, 2^33122022133 is an apocalyptic number.

It is an amenable number.

33122022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33122022133 is an equidigital number, since it uses as much as digits as its factorization.

33122022133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 331220 and 22133, that added together give a palindrome (353353).

The spelling of 33122022133 in words is "thirty-three billion, one hundred twenty-two million, twenty-two thousand, one hundred thirty-three".