220113113220 has 1152 divisors, whose sum is σ = 931257879552. Its totient is φ = 40609382400.

The previous prime is 220113113219. The next prime is 220113113221. The reversal of 220113113220 is 22311311022.

220113113220 is a `hidden beast` number, since 2 + 20 + 11 + 311 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (220113113219) and next prime (220113113221).

It is a super-2 number, since 2×220113113220² (a number of 23 digits) contains 22 as substring.

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 = 220113113193 and 220113113202.

It is not an unprimeable number, because it can be changed into a prime (220113113221) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 913332300 + ... + 913332540.

It is an arithmetic number, because the mean of its divisors is an integer number (808383576).

Almost surely, 2^220113113220 is an apocalyptic number.

220113113220 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 220113113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465628939776).

220113113220 is an abundant number, since it is smaller than the sum of its proper divisors (711144766332).

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

220113113220 is a wasteful number, since it uses less digits than its factorization.

220113113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 456 counting only the distinct ones).

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

Adding to 220113113220 its reverse (22311311022), we get a palindrome (242424424242).

It can be divided in two parts, 220113 and 113220, that added together give a palindrome (333333).

The spelling of 220113113220 in words is "two hundred twenty billion, one hundred thirteen million, one hundred thirteen thousand, two hundred twenty".