133224303422331 has 96 divisors (see below), whose sum is σ = 212701729443840. Its totient is φ = 80346511301760.

The previous prime is 133224303422293. The next prime is 133224303422401.

133224303422331 is a `hidden beast` number, since 1 + 3 + 3 + 224 + 3 + 0 + 3 + 422 + 3 + 3 + 1 = 666.

133224303422331 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-133224303422331 is a prime.

It is a super-2 number, since 2×133224303422331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133224303412331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7418238330 + ... + 7418256288.

It is an arithmetic number, because the mean of its divisors is an integer number (2215643015040).

Almost surely, 2^{133224303422331} is an apocalyptic number.

133224303422331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133224303422331 is a deficient number, since it is larger than the sum of its proper divisors (79477426021509).

133224303422331 is a wasteful number, since it uses less digits than its factorization.

133224303422331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20998 (or 20973 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, 13322430 and 3422331, that added together give a palindrome (16744761).

The spelling of 133224303422331 in words is "one hundred thirty-three trillion, two hundred twenty-four billion, three hundred three million, four hundred twenty-two thousand, three hundred thirty-one".