643313216130 has 512 divisors, whose sum is σ = 1879288750080. Its totient is φ = 139399004160.

The previous prime is 643313216089. The next prime is 643313216153. The reversal of 643313216130 is 31612313346.

It is a junction number, because it is equal to n+sod(n) for n = 643313216091 and 643313216100.

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 255 ways as a sum of consecutive naturals, for example, 795195166 + ... + 795195974.

It is an arithmetic number, because the mean of its divisors is an integer number (3670485840).

Almost surely, 2^643313216130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643313216130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939644375040).

643313216130 is an abundant number, since it is smaller than the sum of its proper divisors (1235975533950).

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

643313216130 is a wasteful number, since it uses less digits than its factorization.

643313216130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006.

The product of its (nonzero) digits is 23328, while the sum is 33.

Adding to 643313216130 its reverse (31612313346), we get a palindrome (674925529476).

It can be divided in two parts, 643313216 and 130, that added together give a palindrome (643313346).

The spelling of 643313216130 in words is "six hundred forty-three billion, three hundred thirteen million, two hundred sixteen thousand, one hundred thirty".