13031233313013 has 12 divisors (see below), whose sum is σ = 18822946622220. Its totient is φ = 8687463925056.

The previous prime is 13031233312991. The next prime is 13031233313023. The reversal of 13031233313013 is 31031333213031.

13031233313013 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 1 + 23 + 331 + 301 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4902473507409 + 8128759805604 = 2214153^2 + 2851098^2 .

It is not a de Polignac number, because 13031233313013 - 2²² = 13031229118709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031233313023) 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, 1564753 + ... + 5339561.

It is an arithmetic number, because the mean of its divisors is an integer number (1568578885185).

Almost surely, 2^{13031233313013} is an apocalyptic number.

It is an amenable number.

13031233313013 is a deficient number, since it is larger than the sum of its proper divisors (5791713309207).

13031233313013 is a wasteful number, since it uses less digits than its factorization.

13031233313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158388 (or 4158385 counting only the distinct ones).

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

Adding to 13031233313013 its reverse (31031333213031), we get a palindrome (44062566526044).

The spelling of 13031233313013 in words is "thirteen trillion, thirty-one billion, two hundred thirty-three million, three hundred thirteen thousand, thirteen".