10312003300000 has 144 divisors (see below), whose sum is σ = 25854369136344. Its totient is φ = 4046972800000.

The previous prime is 10312003299989. The next prime is 10312003300007. The reversal of 10312003300000 is 330021301.

It can be written as a sum of positive squares in 12 ways, for example, as 4281108599056 + 6030894700944 = 2069084^2 + 2455788^2 .

It is not an unprimeable number, because it can be changed into a prime (10312003300007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4327170 + ... + 6272830.

Almost surely, 2^{10312003300000} is an apocalyptic number.

10312003300000 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 10312003300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927184568172).

10312003300000 is an abundant number, since it is smaller than the sum of its proper divisors (15542365836344).

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

10312003300000 is an frugal number, since it uses more digits than its factorization.

10312003300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945749 (or 1945721 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10312003300000 its reverse (330021301), we get a palindrome (10312333321301).

The spelling of 10312003300000 in words is "ten trillion, three hundred twelve billion, three million, three hundred thousand".