10303303312000 has 128 divisors (see below), whose sum is σ = 25620423566400. Its totient is φ = 4120704230400.

The previous prime is 10303303311937. The next prime is 10303303312019. The reversal of 10303303312000 is 21330330301.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115459399 + ... + 115548601.

Almost surely, 2^{10303303312000} is an apocalyptic number.

10303303312000 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 10303303312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12810211783200).

10303303312000 is an abundant number, since it is smaller than the sum of its proper divisors (15317120254400).

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

10303303312000 is an frugal number, since it uses more digits than its factorization.

10303303312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96451 (or 96429 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 10303303312000 its reverse (21330330301), we get a palindrome (10324633642301).

The spelling of 10303303312000 in words is "ten trillion, three hundred three billion, three hundred three million, three hundred twelve thousand".