223331011013120 has 80 divisors (see below), whose sum is σ = 553935511605960. Its totient is φ = 86251976638464.

The previous prime is 223331011013039. The next prime is 223331011013161. The reversal of 223331011013120 is 21310110133322.

It can be written as a sum of positive squares in 4 ways, for example, as 194799858813184 + 28531152199936 = 13957072^2 + 5341456^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1504040867 + ... + 1504189346.

Almost surely, 2^{223331011013120} is an apocalyptic number.

223331011013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223331011013120 is an abundant number, since it is smaller than the sum of its proper divisors (330604500592840).

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

223331011013120 is an equidigital number, since it uses as much as digits as its factorization.

223331011013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008230265 (or 3008230249 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 223331011013120 its reverse (21310110133322), we get a palindrome (244641121146442).

The spelling of 223331011013120 in words is "two hundred twenty-three trillion, three hundred thirty-one billion, eleven million, thirteen thousand, one hundred twenty".