133002302002200 has 576 divisors, whose sum is σ = 452805417660960. Its totient is φ = 34982536642560.

The previous prime is 133002302002189. The next prime is 133002302002249. The reversal of 133002302002200 is 2200203200331.

It is a happy number.

133002302002200 is a `hidden beast` number, since 1 + 3 + 30 + 0 + 230 + 200 + 2 + 200 = 666.

It is a super-2 number, since 2×133002302002200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103665082759 + ... + 103665084041.

Almost surely, 2^{133002302002200} is an apocalyptic number.

133002302002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133002302002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226402708830480).

133002302002200 is an abundant number, since it is smaller than the sum of its proper divisors (319803115658760).

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

133002302002200 is a wasteful number, since it uses less digits than its factorization.

133002302002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 133002302002200 its reverse (2200203200331), we get a palindrome (135202505202531).

The spelling of 133002302002200 in words is "one hundred thirty-three trillion, two billion, three hundred two million, two thousand, two hundred".