313221140020020 has 96 divisors (see below), whose sum is σ = 887897928863232. Its totient is φ = 82490275197568.

The previous prime is 313221140020007. The next prime is 313221140020037. The reversal of 313221140020020 is 20020041122313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3096619 + ... + 25219661.

It is an arithmetic number, because the mean of its divisors is an integer number (9248936758992).

Almost surely, 2^{313221140020020} is an apocalyptic number.

313221140020020 is a gapful number since it is divisible by the number (30) 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 313221140020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443948964431616).

313221140020020 is an abundant number, since it is smaller than the sum of its proper divisors (574676788843212).

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

313221140020020 is a wasteful number, since it uses less digits than its factorization.

313221140020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22125981 (or 22125979 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 313221140020020 its reverse (20020041122313), we get a palindrome (333241181142333).

The spelling of 313221140020020 in words is "three hundred thirteen trillion, two hundred twenty-one billion, one hundred forty million, twenty thousand, twenty".