213343231200000 has 648 divisors, whose sum is σ = 780095223866448. Its totient is φ = 51719500800000.

The previous prime is 213343231199639. The next prime is 213343231200097. The reversal of 213343231200000 is 2132343312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 290032674 + ... + 290767326.

Almost surely, 2^{213343231200000} is an apocalyptic number.

213343231200000 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 213343231200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390047611933224).

213343231200000 is an abundant number, since it is smaller than the sum of its proper divisors (566751992666448).

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

213343231200000 is an frugal number, since it uses more digits than its factorization.

213343231200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734719 (or 734674 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213343231200000 its reverse (2132343312), we get a palindrome (213345363543312).

The spelling of 213343231200000 in words is "two hundred thirteen trillion, three hundred forty-three billion, two hundred thirty-one million, two hundred thousand".