213220220310 has 192 divisors, whose sum is σ = 579360600000. Its totient is φ = 54338780160.

The previous prime is 213220220261. The next prime is 213220220347. The reversal of 213220220310 is 13022022312.

213220220310 is a `hidden beast` number, since 2 + 132 + 2 + 0 + 220 + 310 = 666.

It is a super-3 number, since 3×213220220310³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 135721825 + ... + 135723395.

It is an arithmetic number, because the mean of its divisors is an integer number (3017503125).

Almost surely, 2^213220220310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213220220310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289680300000).

213220220310 is an abundant number, since it is smaller than the sum of its proper divisors (366140379690).

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

213220220310 is a wasteful number, since it uses less digits than its factorization.

213220220310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213220220310 its reverse (13022022312), we get a palindrome (226242242622).

It can be divided in two parts, 2132202 and 20310, that added together give a palindrome (2152512).

The spelling of 213220220310 in words is "two hundred thirteen billion, two hundred twenty million, two hundred twenty thousand, three hundred ten".