133002203232000 has 288 divisors, whose sum is σ = 441929567177280. Its totient is φ = 35454187929600.

The previous prime is 133002203231957. The next prime is 133002203232029. The reversal of 133002203232000 is 232302200331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261730164 + ... + 262237836.

It is an arithmetic number, because the mean of its divisors is an integer number (1534477663810).

Almost surely, 2^{133002203232000} is an apocalyptic number.

133002203232000 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 133002203232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220964783588640).

133002203232000 is an abundant number, since it is smaller than the sum of its proper divisors (308927363945280).

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

133002203232000 is an equidigital number, since it uses as much as digits as its factorization.

133002203232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510436 (or 510412 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 133002203232000 its reverse (232302200331), we get a palindrome (133234505432331).

The spelling of 133002203232000 in words is "one hundred thirty-three trillion, two billion, two hundred three million, two hundred thirty-two thousand".