12001332333013 has 24 divisors (see below), whose sum is σ = 12224041628760. Its totient is φ = 11780418562560.

The previous prime is 12001332332981. The next prime is 12001332333071. The reversal of 12001332333013 is 31033323310021.

12001332333013 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 3383808077169 + 8617524255844 = 1839513^2 + 2935562^2 .

It is not a de Polignac number, because 12001332333013 - 2⁵ = 12001332332981 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 (12001332333083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8103532233 + ... + 8103533713.

It is an arithmetic number, because the mean of its divisors is an integer number (509335067865).

Almost surely, 2^{12001332333013} is an apocalyptic number.

It is an amenable number.

12001332333013 is a deficient number, since it is larger than the sum of its proper divisors (222709295747).

12001332333013 is an frugal number, since it uses more digits than its factorization.

12001332333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 12001332333013 its reverse (31033323310021), we get a palindrome (43034655643034).

The spelling of 12001332333013 in words is "twelve trillion, one billion, three hundred thirty-two million, three hundred thirty-three thousand, thirteen".