212013320310 has 192 divisors, whose sum is σ = 606528000000. Its totient is φ = 50955713280.

The previous prime is 212013320279. The next prime is 212013320317. The reversal of 212013320310 is 13023310212.

212013320310 is a `hidden beast` number, since 2 + 1 + 20 + 1 + 332 + 0 + 310 = 666.

It is a super-2 number, since 2×212013320310² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013320317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106058691 + ... + 106060689.

It is an arithmetic number, because the mean of its divisors is an integer number (3159000000).

Almost surely, 2^212013320310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212013320310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303264000000).

212013320310 is an abundant number, since it is smaller than the sum of its proper divisors (394514679690).

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

212013320310 is a wasteful number, since it uses less digits than its factorization.

212013320310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212013320310 its reverse (13023310212), we get a palindrome (225036630522).

The spelling of 212013320310 in words is "two hundred twelve billion, thirteen million, three hundred twenty thousand, three hundred ten".