133313323012029 has 32 divisors (see below), whose sum is σ = 201712433725440. Its totient is φ = 86980672065456.

The previous prime is 133313323012007. The next prime is 133313323012031. The reversal of 133313323012029 is 920210323313331.

133313323012029 is a `hidden beast` number, since 1 + 3 + 3 + 313 + 32 + 301 + 2 + 0 + 2 + 9 = 666.

It is not a de Polignac number, because 133313323012029 - 2¹⁷ = 133313322880957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133313323011984 and 133313323012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133313323014029) 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 31 ways as a sum of consecutive naturals, for example, 26035312 + ... + 30732134.

It is an arithmetic number, because the mean of its divisors is an integer number (6303513553920).

Almost surely, 2^{133313323012029} is an apocalyptic number.

It is an amenable number.

133313323012029 is a deficient number, since it is larger than the sum of its proper divisors (68399110713411).

133313323012029 is a wasteful number, since it uses less digits than its factorization.

133313323012029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719246 (or 4719240 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 133313323012029 in words is "one hundred thirty-three trillion, three hundred thirteen billion, three hundred twenty-three million, twelve thousand, twenty-nine".