10213312320 has 168 divisors, whose sum is σ = 35173788936. Its totient is φ = 2720120832.

The previous prime is 10213312271. The next prime is 10213312327. The reversal of 10213312320 is 2321331201.

10213312320 is a `hidden beast` number, since 10 + 2 + 1 + 331 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2652662016 + 7560650304 = 51504^2 + 86952^2 .

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 = 10213312293 and 10213312302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213312327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2973324 + ... + 2976756.

Almost surely, 2^10213312320 is an apocalyptic number.

10213312320 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 10213312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17586894468).

10213312320 is an abundant number, since it is smaller than the sum of its proper divisors (24960476616).

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

10213312320 is a wasteful number, since it uses less digits than its factorization.

10213312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4489 (or 4476 counting only the distinct ones).

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

Adding to 10213312320 its reverse (2321331201), we get a palindrome (12534643521).

The spelling of 10213312320 in words is "ten billion, two hundred thirteen million, three hundred twelve thousand, three hundred twenty".