10312033320 has 128 divisors (see below), whose sum is σ = 34516944000. Its totient is φ = 2738396160.

The previous prime is 10312033307. The next prime is 10312033321. The reversal of 10312033320 is 2333021301.

10312033320 is a `hidden beast` number, since 1 + 0 + 312 + 0 + 33 + 320 = 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 = 10312033293 and 10312033302.

It is not an unprimeable number, because it can be changed into a prime (10312033321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 240471 + ... + 280089.

It is an arithmetic number, because the mean of its divisors is an integer number (269663625).

Almost surely, 2^10312033320 is an apocalyptic number.

10312033320 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 10312033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17258472000).

10312033320 is an abundant number, since it is smaller than the sum of its proper divisors (24204910680).

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

10312033320 is a wasteful number, since it uses less digits than its factorization.

10312033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39880 (or 39870 counting only the distinct ones).

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

Adding to 10312033320 its reverse (2333021301), we get a palindrome (12645054621).

The spelling of 10312033320 in words is "ten billion, three hundred twelve million, thirty-three thousand, three hundred twenty".