213031343130312 has 256 divisors, whose sum is σ = 621044022804480. Its totient is φ = 59643464832000.

The previous prime is 213031343130197. The next prime is 213031343130329.

It is a happy number.

213031343130312 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 213031343130312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 638288103 + ... + 638621769.

It is an arithmetic number, because the mean of its divisors is an integer number (2425953214080).

Almost surely, 2^{213031343130312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213031343130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310522011402240).

213031343130312 is an abundant number, since it is smaller than the sum of its proper divisors (408012679674168).

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

213031343130312 is a wasteful number, since it uses less digits than its factorization.

213031343130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334172 (or 334168 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 213031 and 343130312, that added together give a palindrome (343343343).

The spelling of 213031343130312 in words is "two hundred thirteen trillion, thirty-one billion, three hundred forty-three million, one hundred thirty thousand, three hundred twelve".