220230011301300 has 864 divisors, whose sum is σ = 944322317003520. Its totient is φ = 41444893900800.

The previous prime is 220230011301221. The next prime is 220230011301323. The reversal of 220230011301300 is 3103110032022.

220230011301300 is a `hidden beast` number, since 2 + 2 + 0 + 230 + 0 + 1 + 130 + 1 + 300 = 666.

220230011301300 is digitally balanced in base 2 and base 4, because in such bases 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 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, 45441516 + ... + 50053884.

It is an arithmetic number, because the mean of its divisors is an integer number (1092965644680).

Almost surely, 2^{220230011301300} is an apocalyptic number.

220230011301300 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 220230011301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472161158501760).

220230011301300 is an abundant number, since it is smaller than the sum of its proper divisors (724092305702220).

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

220230011301300 is a wasteful number, since it uses less digits than its factorization.

220230011301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612473 (or 4612463 counting only the distinct ones).

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

Adding to 220230011301300 its reverse (3103110032022), we get a palindrome (223333121333322).

The spelling of 220230011301300 in words is "two hundred twenty trillion, two hundred thirty billion, eleven million, three hundred one thousand, three hundred".