213020302222332 has 288 divisors, whose sum is σ = 593135262720000. Its totient is φ = 63926337991680.

The previous prime is 213020302222319. The next prime is 213020302222363. The reversal of 213020302222332 is 233222203020312.

213020302222332 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 2 + 0 + 302 + 2 + 22 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213020302222296 and 213020302222305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57996268848 + ... + 57996272520.

It is an arithmetic number, because the mean of its divisors is an integer number (2059497440000).

Almost surely, 2^{213020302222332} is an apocalyptic number.

213020302222332 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 213020302222332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296567631360000).

213020302222332 is an abundant number, since it is smaller than the sum of its proper divisors (380114960497668).

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

213020302222332 is a wasteful number, since it uses less digits than its factorization.

213020302222332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6516 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 213020302222332 its reverse (233222203020312), we get a palindrome (446242505242644).

The spelling of 213020302222332 in words is "two hundred thirteen trillion, twenty billion, three hundred two million, two hundred twenty-two thousand, three hundred thirty-two".