12002332313 has 8 divisors (see below), whose sum is σ = 12042798600. Its totient is φ = 11961901440.

The previous prime is 12002332297. The next prime is 12002332379. The reversal of 12002332313 is 31323320021.

12002332313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 789216649 + 11213115664 = 28093^2 + 105892^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12002332313 - 2⁴ = 12002332297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002332913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 788531 + ... + 803607.

It is an arithmetic number, because the mean of its divisors is an integer number (1505349825).

Almost surely, 2^12002332313 is an apocalyptic number.

It is an amenable number.

12002332313 is a deficient number, since it is larger than the sum of its proper divisors (40466287).

12002332313 is a wasteful number, since it uses less digits than its factorization.

12002332313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17707.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12002332313 its reverse (31323320021), we get a palindrome (43325652334).

The spelling of 12002332313 in words is "twelve billion, two million, three hundred thirty-two thousand, three hundred thirteen".