213331301330000 has 400 divisors, whose sum is σ = 610854872369280. Its totient is φ = 70594723584000.

The previous prime is 213331301329969. The next prime is 213331301330071. The reversal of 213331301330000 is 33103133312.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6165092699 + ... + 6165127301.

Almost surely, 2^{213331301330000} is an apocalyptic number.

213331301330000 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 213331301330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305427436184640).

213331301330000 is an abundant number, since it is smaller than the sum of its proper divisors (397523571039280).

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

213331301330000 is a wasteful number, since it uses less digits than its factorization.

213331301330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37704 (or 37683 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 213331301330000 its reverse (33103133312), we get a palindrome (213364404463312).

The spelling of 213331301330000 in words is "two hundred thirteen trillion, three hundred thirty-one billion, three hundred one million, three hundred thirty thousand".