10321313220 has 336 divisors, whose sum is σ = 33788284992. Its totient is φ = 2645395200.

The previous prime is 10321313201. The next prime is 10321313243. The reversal of 10321313220 is 2231312301.

10321313220 is a `hidden beast` number, since 10 + 321 + 313 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10321313193 and 10321313202.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 63320859 + ... + 63321021.

It is an arithmetic number, because the mean of its divisors is an integer number (100560372).

Almost surely, 2^10321313220 is an apocalyptic number.

10321313220 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 10321313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16894142496).

10321313220 is an abundant number, since it is smaller than the sum of its proper divisors (23466971772).

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

10321313220 is a wasteful number, since it uses less digits than its factorization.

10321313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

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

Adding to 10321313220 its reverse (2231312301), we get a palindrome (12552625521).

The spelling of 10321313220 in words is "ten billion, three hundred twenty-one million, three hundred thirteen thousand, two hundred twenty".