133503003003042 has 24 divisors (see below), whose sum is σ = 293998416451740. Its totient is φ = 43771476394080.

The previous prime is 133503003002983. The next prime is 133503003003047. The reversal of 133503003003042 is 240300300305331.

It is a happy number.

133503003003042 is a `hidden beast` number, since 1 + 3 + 3 + 50 + 3 + 0 + 0 + 300 + 304 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132892040350161 + 610962652881 = 11527881^2 + 781641^2 .

It is a super-2 number, since 2×133503003003042² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133503003002997 and 133503003003015.

It is not an unprimeable number, because it can be changed into a prime (133503003003047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60793716117 + ... + 60793718312.

Almost surely, 2^{133503003003042} is an apocalyptic number.

133503003003042 is an abundant number, since it is smaller than the sum of its proper divisors (160495413448698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133503003003042 is a wasteful number, since it uses less digits than its factorization.

133503003003042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121587434498 (or 121587434495 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 133503003003042 its reverse (240300300305331), we get a palindrome (373803303308373).

The spelling of 133503003003042 in words is "one hundred thirty-three trillion, five hundred three billion, three million, three thousand, forty-two".