220313113020 has 864 divisors, whose sum is σ = 938180408256. Its totient is φ = 41107046400.

The previous prime is 220313112973. The next prime is 220313113037. The reversal of 220313113020 is 20311313022.

220313113020 is a `hidden beast` number, since 2 + 20 + 31 + 311 + 302 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 220313112984 and 220313113002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46664260 + ... + 46668980.

It is an arithmetic number, because the mean of its divisors is an integer number (1085856954).

Almost surely, 2^220313113020 is an apocalyptic number.

220313113020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220313113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469090204128).

220313113020 is an abundant number, since it is smaller than the sum of its proper divisors (717867295236).

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

220313113020 is a wasteful number, since it uses less digits than its factorization.

220313113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 220313113020 its reverse (20311313022), we get a palindrome (240624426042).

It can be divided in two parts, 220313 and 113020, that added together give a palindrome (333333).

The spelling of 220313113020 in words is "two hundred twenty billion, three hundred thirteen million, one hundred thirteen thousand, twenty".