213313324312000 has 896 divisors, whose sum is σ = 606829973308416. Its totient is φ = 73592064000000.

The previous prime is 213313324311953. The next prime is 213313324312019. The reversal of 213313324312000 is 213423313312.

It is a self number, because there is not a number n which added to its sum of digits gives 213313324312000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20255746735 + ... + 20255757265.

Almost surely, 2^{213313324312000} is an apocalyptic number.

213313324312000 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 213313324312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303414986654208).

213313324312000 is an abundant number, since it is smaller than the sum of its proper divisors (393516648996416).

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

213313324312000 is a wasteful number, since it uses less digits than its factorization.

213313324312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10766 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 213313324312000 its reverse (213423313312), we get a palindrome (213526747625312).

The spelling of 213313324312000 in words is "two hundred thirteen trillion, three hundred thirteen billion, three hundred twenty-four million, three hundred twelve thousand".