213233020122330 has 512 divisors, whose sum is σ = 628366352302080. Its totient is φ = 51130925015040.

The previous prime is 213233020122259. The next prime is 213233020122347. The reversal of 213233020122330 is 33221020332312.

213233020122330 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 302 + 0 + 1 + 22 + 330 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213233020122294 and 213233020122303.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 62882044935 + ... + 62882048325.

It is an arithmetic number, because the mean of its divisors is an integer number (1227278031840).

Almost surely, 2^{213233020122330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213233020122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314183176151040).

213233020122330 is an abundant number, since it is smaller than the sum of its proper divisors (415133332179750).

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

213233020122330 is a wasteful number, since it uses less digits than its factorization.

213233020122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 213233020122330 its reverse (33221020332312), we get a palindrome (246454040454642).

The spelling of 213233020122330 in words is "two hundred thirteen trillion, two hundred thirty-three billion, twenty million, one hundred twenty-two thousand, three hundred thirty".