213211021233210 has 768 divisors, whose sum is σ = 718490276904960. Its totient is φ = 39775114229760.

The previous prime is 213211021233181. The next prime is 213211021233257. The reversal of 213211021233210 is 12332120112312.

213211021233210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38632180831 + ... + 38632186349.

It is an arithmetic number, because the mean of its divisors is an integer number (935534214720).

Almost surely, 2^{213211021233210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213211021233210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359245138452480).

213211021233210 is an abundant number, since it is smaller than the sum of its proper divisors (505279255671750).

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

213211021233210 is a wasteful number, since it uses less digits than its factorization.

213211021233210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10571 (or 10564 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 213211021233210 its reverse (12332120112312), we get a palindrome (225543141345522).

The spelling of 213211021233210 in words is "two hundred thirteen trillion, two hundred eleven billion, twenty-one million, two hundred thirty-three thousand, two hundred ten".