10310034312320 has 128 divisors (see below), whose sum is σ = 25354240531200. Its totient is φ = 4006591160320.

The previous prime is 10310034312247. The next prime is 10310034312323. The reversal of 10310034312320 is 2321343001301.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (10310034312323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5449367 + ... + 7093353.

It is an arithmetic number, because the mean of its divisors is an integer number (198080004150).

Almost surely, 2^{10310034312320} is an apocalyptic number.

10310034312320 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 10310034312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12677120265600).

10310034312320 is an abundant number, since it is smaller than the sum of its proper divisors (15044206218880).

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

10310034312320 is a wasteful number, since it uses less digits than its factorization.

10310034312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644286 (or 1644274 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10310034312320 its reverse (2321343001301), we get a palindrome (12631377313621).

The spelling of 10310034312320 in words is "ten trillion, three hundred ten billion, thirty-four million, three hundred twelve thousand, three hundred twenty".