133331002002 has 48 divisors (see below), whose sum is σ = 331732645920. Its totient is φ = 38276841600.

The previous prime is 133331001997. The next prime is 133331002003. The reversal of 133331002002 is 200200133331.

133331002002 is a `hidden beast` number, since 1 + 333 + 310 + 0 + 20 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (133331002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17716999 + ... + 17724522.

It is an arithmetic number, because the mean of its divisors is an integer number (6911096790).

Almost surely, 2^133331002002 is an apocalyptic number.

133331002002 is an abundant number, since it is smaller than the sum of its proper divisors (198401643918).

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

133331002002 is a wasteful number, since it uses less digits than its factorization.

133331002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35441559 (or 35441556 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133331002002 its reverse (200200133331), we get a palindrome (333531135333).

The spelling of 133331002002 in words is "one hundred thirty-three billion, three hundred thirty-one million, two thousand, two".