133130023130331 has 48 divisors (see below), whose sum is σ = 203394089808000. Its totient is φ = 83677522158720.

The previous prime is 133130023130329. The next prime is 133130023130341. The reversal of 133130023130331 is 133031320031331.

133130023130331 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 300 + 23 + 1 + 3 + 0 + 331 = 666.

It is not a de Polignac number, because 133130023130331 - 2¹ = 133130023130329 is a prime.

It is a super-2 number, since 2×133130023130331² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133130023130295 and 133130023130304.

It is not an unprimeable number, because it can be changed into a prime (133130023130311) 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 47 ways as a sum of consecutive naturals, for example, 522650280 + ... + 522904938.

It is an arithmetic number, because the mean of its divisors is an integer number (4237376871000).

Almost surely, 2^{133130023130331} is an apocalyptic number.

133130023130331 is a deficient number, since it is larger than the sum of its proper divisors (70264066677669).

133130023130331 is a wasteful number, since it uses less digits than its factorization.

133130023130331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269384 (or 269381 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 133130023130331 its reverse (133031320031331), we get a palindrome (266161343161662).

The spelling of 133130023130331 in words is "one hundred thirty-three trillion, one hundred thirty billion, twenty-three million, one hundred thirty thousand, three hundred thirty-one".