133203213000 has 864 divisors, whose sum is σ = 538495874280. Its totient is φ = 29500416000.

The previous prime is 133203212981. The next prime is 133203213001. The reversal of 133203213000 is 312302331.

133203213000 is a `hidden beast` number, since 1 + 332 + 0 + 32 + 1 + 300 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 26168238756 + 107034974244 = 161766^2 + 327162^2 .

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 (133203213001) 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 215 ways as a sum of consecutive naturals, for example, 1373228952 + ... + 1373229048.

Almost surely, 2^133203213000 is an apocalyptic number.

133203213000 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 133203213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269247937140).

133203213000 is an abundant number, since it is smaller than the sum of its proper divisors (405292661280).

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

133203213000 is a wasteful number, since it uses less digits than its factorization.

133203213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 131 counting only the distinct ones).

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

Adding to 133203213000 its reverse (312302331), we get a palindrome (133515515331).

The spelling of 133203213000 in words is "one hundred thirty-three billion, two hundred three million, two hundred thirteen thousand".