213320306466000 has 480 divisors, whose sum is σ = 754635655762560. Its totient is φ = 56158562304000.

The previous prime is 213320306465983. The next prime is 213320306466053. The reversal of 213320306466000 is 664603023312.

213320306466000 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 2 + 0 + 3 + 0 + 6 + 46 + 600 + 0 = 666.

It is a super-2 number, since 2×213320306466000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 454859631 + ... + 455328369.

It is an arithmetic number, because the mean of its divisors is an integer number (1572157616172).

Almost surely, 2^{213320306466000} is an apocalyptic number.

213320306466000 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 213320306466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377317827881280).

213320306466000 is an abundant number, since it is smaller than the sum of its proper divisors (541315349296560).

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

213320306466000 is a wasteful number, since it uses less digits than its factorization.

213320306466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469092 (or 469073 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 213320306466000 its reverse (664603023312), we get a palindrome (213984909489312).

The spelling of 213320306466000 in words is "two hundred thirteen trillion, three hundred twenty billion, three hundred six million, four hundred sixty-six thousand".