10013323320 has 768 divisors, whose sum is σ = 44935188480. Its totient is φ = 1866240000.

The previous prime is 10013323303. The next prime is 10013323403. The reversal of 10013323320 is 2332331001.

Added to its reverse (2332331001) it gives a square (12345654321 = 111111²).

10013323320 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 332 + 332 + 0 = 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 = 10013323293 and 10013323302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13332945 + ... + 13333695.

It is an arithmetic number, because the mean of its divisors is an integer number (58509360).

Almost surely, 2^10013323320 is an apocalyptic number.

10013323320 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 10013323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22467594240).

10013323320 is an abundant number, since it is smaller than the sum of its proper divisors (34921865160).

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

10013323320 is a wasteful number, since it uses less digits than its factorization.

10013323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10013323320 its reverse (2332331001), we get a palindrome (12345654321).

It can be divided in two parts, 10013 and 323320, that added together give a palindrome (333333).

The spelling of 10013323320 in words is "ten billion, thirteen million, three hundred twenty-three thousand, three hundred twenty".