213113113323210 has 160 divisors (see below), whose sum is σ = 603228786589440. Its totient is φ = 53836296409728.

The previous prime is 213113113323197. The next prime is 213113113323211. The reversal of 213113113323210 is 12323311311312.

213113113323210 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 1 + 3 + 1 + 1 + 332 + 321 + 0 = 666.

It is a super-2 number, since 2×213113113323210² (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213113113323211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 303247552 + ... + 303949508.

It is an arithmetic number, because the mean of its divisors is an integer number (3770179916184).

Almost surely, 2^{213113113323210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213113113323210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301614393294720).

213113113323210 is an abundant number, since it is smaller than the sum of its proper divisors (390115673266230).

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

213113113323210 is a wasteful number, since it uses less digits than its factorization.

213113113323210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721722 (or 721713 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 213113113323210 its reverse (12323311311312), we get a palindrome (225436424634522).

The spelling of 213113113323210 in words is "two hundred thirteen trillion, one hundred thirteen billion, one hundred thirteen million, three hundred twenty-three thousand, two hundred ten".