213230303233020 has 480 divisors, whose sum is σ = 728668133867520. Its totient is φ = 52012663073280.

The previous prime is 213230303233009. The next prime is 213230303233021. The reversal of 213230303233020 is 20332303032312.

213230303233020 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 0 + 30 + 323 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213230303233021) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 148476037 + ... + 149905283.

It is an arithmetic number, because the mean of its divisors is an integer number (1518058612224).

Almost surely, 2^{213230303233020} is an apocalyptic number.

213230303233020 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 213230303233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364334066933760).

213230303233020 is an abundant number, since it is smaller than the sum of its proper divisors (515437830634500).

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

213230303233020 is a wasteful number, since it uses less digits than its factorization.

213230303233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429455 (or 1429444 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 213230303233020 its reverse (20332303032312), we get a palindrome (233562606265332).

The spelling of 213230303233020 in words is "two hundred thirteen trillion, two hundred thirty billion, three hundred three million, two hundred thirty-three thousand, twenty".