10000313330000 has 200 divisors, whose sum is σ = 27682497915072. Its totient is φ = 3427202304000.

The previous prime is 10000313329961. The next prime is 10000313330009. The reversal of 10000313330000 is 3331300001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000313330009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 169160447 + ... + 169219553.

Almost surely, 2^{10000313330000} is an apocalyptic number.

10000313330000 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 10000313330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841248957536).

10000313330000 is an abundant number, since it is smaller than the sum of its proper divisors (17682184585072).

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

10000313330000 is an equidigital number, since it uses as much as digits as its factorization.

10000313330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61559 (or 61538 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 10000313330000 its reverse (3331300001), we get a palindrome (10003644630001).

The spelling of 10000313330000 in words is "ten trillion, three hundred thirteen million, three hundred thirty thousand".