10313313330000 has 400 divisors, whose sum is σ = 35697504142080. Its totient is φ = 2555664384000.

The previous prime is 10313313329999. The next prime is 10313313330043. The reversal of 10313313330000 is 3331331301.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40162012 + ... + 40417988.

Almost surely, 2^{10313313330000} is an apocalyptic number.

10313313330000 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 10313313330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17848752071040).

10313313330000 is an abundant number, since it is smaller than the sum of its proper divisors (25384190812080).

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

10313313330000 is a wasteful number, since it uses less digits than its factorization.

10313313330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256104 (or 256083 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 10313313330000 its reverse (3331331301), we get a palindrome (10316644661301).

The spelling of 10313313330000 in words is "ten trillion, three hundred thirteen billion, three hundred thirteen million, three hundred thirty thousand".