220313312130 has 128 divisors (see below), whose sum is σ = 541486632960. Its totient is φ = 57353345280.

The previous prime is 220313312099. The next prime is 220313312159. The reversal of 220313312130 is 31213313022.

220313312130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220313312097 and 220313312106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141316291 + ... + 141317849.

It is an arithmetic number, because the mean of its divisors is an integer number (4230364320).

Almost surely, 2^220313312130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220313312130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270743316480).

220313312130 is an abundant number, since it is smaller than the sum of its proper divisors (321173320830).

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

220313312130 is a wasteful number, since it uses less digits than its factorization.

220313312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 220313312130 its reverse (31213313022), we get a palindrome (251526625152).

The spelling of 220313312130 in words is "two hundred twenty billion, three hundred thirteen million, three hundred twelve thousand, one hundred thirty".