13313213330013 has 12 divisors (see below), whose sum is σ = 19231150558620. Its totient is φ = 8875035464256.

The previous prime is 13313213329993. The next prime is 13313213330057. The reversal of 13313213330013 is 31003331231331.

13313213330013 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 321 + 3 + 330 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10748673719289 + 2564539610724 = 3278517^2 + 1601418^2 .

It is not a de Polignac number, because 13313213330013 - 2¹⁴ = 13313213313629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313213331013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36482448 + ... + 36845561.

It is an arithmetic number, because the mean of its divisors is an integer number (1602595879885).

Almost surely, 2^{13313213330013} is an apocalyptic number.

It is an amenable number.

13313213330013 is a deficient number, since it is larger than the sum of its proper divisors (5917937228607).

13313213330013 is a wasteful number, since it uses less digits than its factorization.

13313213330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73348188 (or 73348185 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13313213330013 its reverse (31003331231331), we get a palindrome (44316544561344).

The spelling of 13313213330013 in words is "thirteen trillion, three hundred thirteen billion, two hundred thirteen million, three hundred thirty thousand, thirteen".