2133322221133 has 24 divisors (see below), whose sum is σ = 2252116492920. Its totient is φ = 2020256409600.

The previous prime is 2133322221101. The next prime is 2133322221161. The reversal of 2133322221133 is 3311222233312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 495979330564 + 1637342890569 = 704258^2 + 1279587^2 .

It is not a de Polignac number, because 2133322221133 - 2⁵ = 2133322221101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133322227133) 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 in 23 ways as a sum of consecutive naturals, for example, 8167743 + ... + 8424883.

It is an arithmetic number, because the mean of its divisors is an integer number (93838187205).

Almost surely, 2^{2133322221133} is an apocalyptic number.

It is an amenable number.

2133322221133 is a deficient number, since it is larger than the sum of its proper divisors (118794271787).

2133322221133 is an equidigital number, since it uses as much as digits as its factorization.

2133322221133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257389 (or 257358 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

Adding to 2133322221133 its reverse (3311222233312), we get a palindrome (5444544454445).

The spelling of 2133322221133 in words is "two trillion, one hundred thirty-three billion, three hundred twenty-two million, two hundred twenty-one thousand, one hundred thirty-three".