133131130033 has 12 divisors (see below), whose sum is σ = 147316346100. Its totient is φ = 120216013280.

The previous prime is 133131129959. The next prime is 133131130057. The reversal of 133131130033 is 330031131331.

It can be written as a sum of positive squares in 2 ways, for example, as 36579240049 + 96551889984 = 191257^2 + 310728^2 .

It is not a de Polignac number, because 133131130033 - 2¹³ = 133131121841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133131129986 and 133131130013.

It is not an unprimeable number, because it can be changed into a prime (133131130933) 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, 3674110 + ... + 3710167.

It is an arithmetic number, because the mean of its divisors is an integer number (12276362175).

Almost surely, 2^133131130033 is an apocalyptic number.

It is an amenable number.

133131130033 is a deficient number, since it is larger than the sum of its proper divisors (14185216067).

133131130033 is a wasteful number, since it uses less digits than its factorization.

133131130033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384448 (or 7384437 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 133131130033 its reverse (330031131331), we get a palindrome (463162261364).

The spelling of 133131130033 in words is "one hundred thirty-three billion, one hundred thirty-one million, one hundred thirty thousand, thirty-three".