133002202200 has 192 divisors, whose sum is σ = 471421969920. Its totient is φ = 30386688000.

The previous prime is 133002202199. The next prime is 133002202211. The reversal of 133002202200 is 2202200331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133002202200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11380360 + ... + 11392040.

It is an arithmetic number, because the mean of its divisors is an integer number (2455322760).

Almost surely, 2^133002202200 is an apocalyptic number.

133002202200 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 133002202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235710984960).

133002202200 is an abundant number, since it is smaller than the sum of its proper divisors (338419767720).

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

133002202200 is a wasteful number, since it uses less digits than its factorization.

133002202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14418 (or 14409 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 133002202200 its reverse (2202200331), we get a palindrome (135204402531).

The spelling of 133002202200 in words is "one hundred thirty-three billion, two million, two hundred two thousand, two hundred".