33132244121153 has 2 divisors, whose sum is σ = 33132244121154. Its totient is φ = 33132244121152.

The previous prime is 33132244121033. The next prime is 33132244121161. The reversal of 33132244121153 is 35112144223133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20594469600769 + 12537774520384 = 4538113^2 + 3540872^2 .

It is a cyclic number.

It is not a de Polignac number, because 33132244121153 - 2⁸ = 33132244120897 is a prime.

It is not a weakly prime, because it can be changed into another prime (33132244121183) 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, 16566122060576 + 16566122060577.

It is an arithmetic number, because the mean of its divisors is an integer number (16566122060577).

Almost surely, 2^{33132244121153} is an apocalyptic number.

It is an amenable number.

33132244121153 is a deficient number, since it is larger than the sum of its proper divisors (1).

33132244121153 is an equidigital number, since it uses as much as digits as its factorization.

33132244121153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 35.

Adding to 33132244121153 its reverse (35112144223133), we get a palindrome (68244388344286).

The spelling of 33132244121153 in words is "thirty-three trillion, one hundred thirty-two billion, two hundred forty-four million, one hundred twenty-one thousand, one hundred fifty-three".