133424020424331 has 144 divisors (see below), whose sum is σ = 243830270331648. Its totient is φ = 68461933536000.

The previous prime is 133424020424311. The next prime is 133424020424389.

133424020424331 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 2 + 402 + 0 + 4 + 243 + 3 + 1 = 666.

133424020424331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133424020424331 - 2¹⁴ = 133424020407947 is a prime.

It is a super-2 number, since 2×133424020424331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133424020424311) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8354135176 + ... + 8354151146.

It is an arithmetic number, because the mean of its divisors is an integer number (1693265766192).

Almost surely, 2^{133424020424331} is an apocalyptic number.

133424020424331 is a deficient number, since it is larger than the sum of its proper divisors (110406249907317).

133424020424331 is a wasteful number, since it uses less digits than its factorization.

133424020424331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23522 (or 23482 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 133424020424331 in words is "one hundred thirty-three trillion, four hundred twenty-four billion, twenty million, four hundred twenty-four thousand, three hundred thirty-one".