213331313023312 has 240 divisors, whose sum is σ = 464990678691840. Its totient is φ = 94721501952000.

The previous prime is 213331313023307. The next prime is 213331313023319. The reversal of 213331313023312 is 213320313133312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213331313023319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6181528137 + ... + 6181562647.

It is an arithmetic number, because the mean of its divisors is an integer number (1937461161216).

Almost surely, 2^{213331313023312} is an apocalyptic number.

213331313023312 is a gapful number since it is divisible by the number (22) 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 213331313023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232495339345920).

213331313023312 is an abundant number, since it is smaller than the sum of its proper divisors (251659365668528).

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

213331313023312 is a wasteful number, since it uses less digits than its factorization.

213331313023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35034 (or 35017 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 213331313023312 its reverse (213320313133312), we get a palindrome (426651626156624).

The spelling of 213331313023312 in words is "two hundred thirteen trillion, three hundred thirty-one billion, three hundred thirteen million, twenty-three thousand, three hundred twelve".