133322404223331 has 48 divisors (see below), whose sum is σ = 193904480689920. Its totient is φ = 88270167960000.

The previous prime is 133322404223279. The next prime is 133322404223353.

133322404223331 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 22 + 404 + 223 + 3 + 3 + 1 = 666.

133322404223331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133322404223331 - 2¹⁰ = 133322404222307 is a prime.

It is a super-2 number, since 2×133322404223331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133322404223231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8869821786 + ... + 8869836816.

It is an arithmetic number, because the mean of its divisors is an integer number (4039676681040).

Almost surely, 2^{133322404223331} is an apocalyptic number.

133322404223331 is a deficient number, since it is larger than the sum of its proper divisors (60582076466589).

133322404223331 is a wasteful number, since it uses less digits than its factorization.

133322404223331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22008 (or 22005 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 13332240 and 4223331, that added together give a palindrome (17555571).

The spelling of 133322404223331 in words is "one hundred thirty-three trillion, three hundred twenty-two billion, four hundred four million, two hundred twenty-three thousand, three hundred thirty-one".