133406301330 has 48 divisors (see below), whose sum is σ = 367259704344. Its totient is φ = 33482365440.

The previous prime is 133406301311. The next prime is 133406301331. The reversal of 133406301330 is 33103604331.

133406301330 is a `hidden beast` number, since 13 + 3 + 4 + 0 + 630 + 13 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117048147129 + 16358154201 = 342123^2 + 127899^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133406301294 and 133406301303.

It is not an unprimeable number, because it can be changed into a prime (133406301331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43595301 + ... + 43598360.

Almost surely, 2^133406301330 is an apocalyptic number.

133406301330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133406301330 is an abundant number, since it is smaller than the sum of its proper divisors (233853403014).

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

133406301330 is a wasteful number, since it uses less digits than its factorization.

133406301330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87193691 (or 87193688 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133406301330 its reverse (33103604331), we get a palindrome (166509905661).

The spelling of 133406301330 in words is "one hundred thirty-three billion, four hundred six million, three hundred one thousand, three hundred thirty".