10220321301320 has 128 divisors (see below), whose sum is σ = 24895696019040. Its totient is φ = 3753692651520.

The previous prime is 10220321301299. The next prime is 10220321301331. The reversal of 10220321301320 is 2310312302201.

10220321301320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 2707360904836 + 7512960396484 = 1645406^2 + 2740978^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10220321301292 and 10220321301301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694638284 + ... + 694652996.

Almost surely, 2^{10220321301320} is an apocalyptic number.

10220321301320 is a gapful number since it is divisible by the number (10) 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 10220321301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12447848009520).

10220321301320 is an abundant number, since it is smaller than the sum of its proper divisors (14675374717720).

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

10220321301320 is a wasteful number, since it uses less digits than its factorization.

10220321301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21715 (or 21711 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10220321301320 its reverse (2310312302201), we get a palindrome (12530633603521).

The spelling of 10220321301320 in words is "ten trillion, two hundred twenty billion, three hundred twenty-one million, three hundred one thousand, three hundred twenty".