220103501300000 has 288 divisors, whose sum is σ = 547344641450880. Its totient is φ = 87116051200000.

The previous prime is 220103501299987. The next prime is 220103501300027. The reversal of 220103501300000 is 3105301022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4260674171 + ... + 4260725829.

It is an arithmetic number, because the mean of its divisors is an integer number (1900502227260).

Almost surely, 2^{220103501300000} is an apocalyptic number.

220103501300000 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 220103501300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273672320725440).

220103501300000 is an abundant number, since it is smaller than the sum of its proper divisors (327241140150880).

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

220103501300000 is an equidigital number, since it uses as much as digits as its factorization.

220103501300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52142 (or 52114 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 220103501300000 its reverse (3105301022), we get a palindrome (220106606601022).

The spelling of 220103501300000 in words is "two hundred twenty trillion, one hundred three billion, five hundred one million, three hundred thousand".