13313332001013 has 16 divisors (see below), whose sum is σ = 19364920114176. Its totient is φ = 8068655408240.

The previous prime is 13313332000973. The next prime is 13313332001023. The reversal of 13313332001013 is 31010023331331.

13313332001013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13313332001013 - 2²⁰ = 13313330952437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313332001023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10542706 + ... + 11737772.

It is an arithmetic number, because the mean of its divisors is an integer number (1210307507136).

Almost surely, 2^{13313332001013} is an apocalyptic number.

It is an amenable number.

13313332001013 is a deficient number, since it is larger than the sum of its proper divisors (6051588113163).

13313332001013 is a wasteful number, since it uses less digits than its factorization.

13313332001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532664.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13313332001013 its reverse (31010023331331), we get a palindrome (44323355332344).

The spelling of 13313332001013 in words is "thirteen trillion, three hundred thirteen billion, three hundred thirty-two million, one thousand, thirteen".