12313133330000 has 100 divisors (see below), whose sum is σ = 29818305853380. Its totient is φ = 4924100352000.

The previous prime is 12313133329997. The next prime is 12313133330009. The reversal of 12313133330000 is 3333131321.

It can be written as a sum of positive squares in 10 ways, for example, as 12308112757264 + 5020572736 = 3508292^2 + 70856^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×12313133330000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313133330009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 43228046 + ... + 43511954.

Almost surely, 2^{12313133330000} is an apocalyptic number.

12313133330000 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 12313133330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909152926690).

12313133330000 is an abundant number, since it is smaller than the sum of its proper divisors (17505172523380).

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

12313133330000 is an equidigital number, since it uses as much as digits as its factorization.

12313133330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288274 (or 288253 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 12313133330000 its reverse (3333131321), we get a palindrome (12316466461321).

The spelling of 12313133330000 in words is "twelve trillion, three hundred thirteen billion, one hundred thirty-three million, three hundred thirty thousand".