12031002031313 has 12 divisors (see below), whose sum is σ = 12699580369140. Its totient is φ = 11395959473376.

The previous prime is 12031002031271. The next prime is 12031002031333. The reversal of 12031002031313 is 31313020013021.

It can be written as a sum of positive squares in 2 ways, for example, as 7144196616769 + 4886805414544 = 2672863^2 + 2210612^2 .

It is not a de Polignac number, because 12031002031313 - 2⁶ = 12031002031249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12031002031333) 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 11 ways as a sum of consecutive naturals, for example, 426470 + ... + 4923807.

It is an arithmetic number, because the mean of its divisors is an integer number (1058298364095).

Almost surely, 2^{12031002031313} is an apocalyptic number.

It is an amenable number.

12031002031313 is a deficient number, since it is larger than the sum of its proper divisors (668578337827).

12031002031313 is an equidigital number, since it uses as much as digits as its factorization.

12031002031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356544 (or 5356525 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12031002031313 its reverse (31313020013021), we get a palindrome (43344022044334).

The spelling of 12031002031313 in words is "twelve trillion, thirty-one billion, two million, thirty-one thousand, three hundred thirteen".