220113231300000 has 360 divisors, whose sum is σ = 809131865769612. Its totient is φ = 58696859520000.

The previous prime is 220113231299869. The next prime is 220113231300023. The reversal of 220113231300000 is 3132311022.

220113231300000 is a `hidden beast` number, since 2 + 20 + 113 + 231 + 300 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 30798637321104 + 189314593978896 = 5549652^2 + 13759164^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5487237 + ... + 21687236.

Almost surely, 2^{220113231300000} is an apocalyptic number.

220113231300000 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 220113231300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404565932884806).

220113231300000 is an abundant number, since it is smaller than the sum of its proper divisors (589018634469612).

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

220113231300000 is an frugal number, since it uses more digits than its factorization.

220113231300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27174520 (or 27174483 counting only the distinct ones).

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

Adding to 220113231300000 its reverse (3132311022), we get a palindrome (220116363611022).

The spelling of 220113231300000 in words is "two hundred twenty trillion, one hundred thirteen billion, two hundred thirty-one million, three hundred thousand".