12131002332330 has 384 divisors, whose sum is σ = 36789550237440. Its totient is φ = 2542363729920.

The previous prime is 12131002332307. The next prime is 12131002332413. The reversal of 12131002332330 is 3323320013121.

It is a super-2 number, since 2×12131002332330² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12131002332330.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 417993220 + ... + 418022240.

It is an arithmetic number, because the mean of its divisors is an integer number (95806120410).

Almost surely, 2^{12131002332330} is an apocalyptic number.

12131002332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131002332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18394775118720).

12131002332330 is an abundant number, since it is smaller than the sum of its proper divisors (24658547905110).

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

12131002332330 is a wasteful number, since it uses less digits than its factorization.

12131002332330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29494 (or 29487 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12131002332330 its reverse (3323320013121), we get a palindrome (15454322345451).

The spelling of 12131002332330 in words is "twelve trillion, one hundred thirty-one billion, two million, three hundred thirty-two thousand, three hundred thirty".