10031002320 has 160 divisors (see below), whose sum is σ = 33987824640. Its totient is φ = 2436341760.

The previous prime is 10031002309. The next prime is 10031002361. The reversal of 10031002320 is 2320013001.

It is a happy number.

10031002320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10031002296 and 10031002305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86826 + ... + 166134.

It is an arithmetic number, because the mean of its divisors is an integer number (212423904).

Almost surely, 2^10031002320 is an apocalyptic number.

10031002320 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 10031002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16993912320).

10031002320 is an abundant number, since it is smaller than the sum of its proper divisors (23956822320).

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

10031002320 is a wasteful number, since it uses less digits than its factorization.

10031002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79373 (or 79367 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10031002320 its reverse (2320013001), we get a palindrome (12351015321).

The spelling of 10031002320 in words is "ten billion, thirty-one million, two thousand, three hundred twenty".