213331133230000 has 200 divisors, whose sum is σ = 547007677424208. Its totient is φ = 80293871616000.

The previous prime is 213331133229967. The next prime is 213331133230049. The reversal of 213331133230000 is 32331133312.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 727963504 + ... + 728256496.

Almost surely, 2^{213331133230000} is an apocalyptic number.

213331133230000 is a gapful number since it is divisible by the number (20) 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 213331133230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273503838712104).

213331133230000 is an abundant number, since it is smaller than the sum of its proper divisors (333676544194208).

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

213331133230000 is a wasteful number, since it uses less digits than its factorization.

213331133230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297321 (or 297300 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 213331133230000 its reverse (32331133312), we get a palindrome (213363464363312).

The spelling of 213331133230000 in words is "two hundred thirteen trillion, three hundred thirty-one billion, one hundred thirty-three million, two hundred thirty thousand".