213234200000 has 168 divisors, whose sum is σ = 536814485424. Its totient is φ = 84015360000.

The previous prime is 213234199993. The next prime is 213234200009. The reversal of 213234200000 is 2432312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213234200009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13392044 + ... + 13407956.

It is an arithmetic number, because the mean of its divisors is an integer number (3195324318).

Almost surely, 2^213234200000 is an apocalyptic number.

213234200000 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 213234200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268407242712).

213234200000 is an abundant number, since it is smaller than the sum of its proper divisors (323580285424).

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

213234200000 is an frugal number, since it uses more digits than its factorization.

213234200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16017 (or 15987 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 213234200000 its reverse (2432312), we get a palindrome (213236632312).

The spelling of 213234200000 in words is "two hundred thirteen billion, two hundred thirty-four million, two hundred thousand".