213333342024330 has 512 divisors, whose sum is σ = 677447359488000. Its totient is φ = 47226087659520.

The previous prime is 213333342024323. The next prime is 213333342024337. The reversal of 213333342024330 is 33420243333312.

213333342024330 is a `hidden beast` number, since 2 + 1 + 3 + 33 + 334 + 20 + 243 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (213333342024323) and next prime (213333342024337).

It is a super-2 number, since 2×213333342024330² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213333342024337) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 175703109 + ... + 176913111.

It is an arithmetic number, because the mean of its divisors is an integer number (1323139374000).

Almost surely, 2^{213333342024330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213333342024330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338723679744000).

213333342024330 is an abundant number, since it is smaller than the sum of its proper divisors (464114017463670).

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

213333342024330 is a wasteful number, since it uses less digits than its factorization.

213333342024330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210171 (or 1210165 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 36.

Adding to 213333342024330 its reverse (33420243333312), we get a palindrome (246753585357642).

The spelling of 213333342024330 in words is "two hundred thirteen trillion, three hundred thirty-three billion, three hundred forty-two million, twenty-four thousand, three hundred thirty".