12031330311013 has 8 divisors (see below), whose sum is σ = 12979272755288. Its totient is φ = 11086595794944.

The previous prime is 12031330310977. The next prime is 12031330311067. The reversal of 12031330311013 is 31011303313021.

It can be written as a sum of positive squares in 4 ways, for example, as 4729137416964 + 7302192894049 = 2174658^2 + 2702257^2 .

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 12031330311013 - 2³⁷ = 11893891357541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031330311313) 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 7 ways as a sum of consecutive naturals, for example, 801974256 + ... + 801989257.

It is an arithmetic number, because the mean of its divisors is an integer number (1622409094411).

Almost surely, 2^{12031330311013} is an apocalyptic number.

12031330311013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12031330311013 is a deficient number, since it is larger than the sum of its proper divisors (947942444275).

12031330311013 is a wasteful number, since it uses less digits than its factorization.

12031330311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603964103.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 12031330311013 its reverse (31011303313021), we get a palindrome (43042633624034).

The spelling of 12031330311013 in words is "twelve trillion, thirty-one billion, three hundred thirty million, three hundred eleven thousand, thirteen".