213233010000 has 200 divisors, whose sum is σ = 724575186720. Its totient is φ = 53869248000.

The previous prime is 213233009939. The next prime is 213233010007. The reversal of 213233010000 is 10332312.

213233010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213233010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 382954 + ... + 757046.

Almost surely, 2^213233010000 is an apocalyptic number.

213233010000 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 213233010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362287593360).

213233010000 is an abundant number, since it is smaller than the sum of its proper divisors (511342176720).

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

213233010000 is a wasteful number, since it uses less digits than its factorization.

213233010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374143 (or 374122 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 213233010000 its reverse (10332312), we get a palindrome (213243342312).

The spelling of 213233010000 in words is "two hundred thirteen billion, two hundred thirty-three million, ten thousand".