10310312320 has 512 divisors, whose sum is σ = 33671946240. Its totient is φ = 2919628800.

The previous prime is 10310312297. The next prime is 10310312359. The reversal of 10310312320 is 2321301301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10310312294 and 10310312303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25970362 + ... + 25970758.

It is an arithmetic number, because the mean of its divisors is an integer number (65765520).

Almost surely, 2^10310312320 is an apocalyptic number.

10310312320 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 10310312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16835973120).

10310312320 is an abundant number, since it is smaller than the sum of its proper divisors (23361633920).

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

10310312320 is a wasteful number, since it uses less digits than its factorization.

10310312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10310312320 its reverse (2321301301), we get a palindrome (12631613621).

The spelling of 10310312320 in words is "ten billion, three hundred ten million, three hundred twelve thousand, three hundred twenty".