220311221130 has 576 divisors, whose sum is σ = 799583436288. Its totient is φ = 41352837120.

The previous prime is 220311221093. The next prime is 220311221203. The reversal of 220311221130 is 31122113022.

220311221130 is a `hidden beast` number, since 2 + 2 + 0 + 311 + 221 + 130 = 666.

220311221130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 287 ways as a sum of consecutive naturals, for example, 29635894 + ... + 29643326.

It is an arithmetic number, because the mean of its divisors is an integer number (1388165688).

Almost surely, 2^220311221130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220311221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399791718144).

220311221130 is an abundant number, since it is smaller than the sum of its proper divisors (579272215158).

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

220311221130 is a wasteful number, since it uses less digits than its factorization.

220311221130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7531 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220311221130 its reverse (31122113022), we get a palindrome (251433334152).

The spelling of 220311221130 in words is "two hundred twenty billion, three hundred eleven million, two hundred twenty-one thousand, one hundred thirty".