13013312321213 has 4 divisors (see below), whose sum is σ = 13330710182748. Its totient is φ = 12695914459680.

The previous prime is 13013312321161. The next prime is 13013312321287. The reversal of 13013312321213 is 31212321331031.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5511399483769 + 7501912837444 = 2347637^2 + 2738962^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013312321213 - 2³⁴ = 12996132452029 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 (13013312326213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158698930706 + ... + 158698930787.

It is an arithmetic number, because the mean of its divisors is an integer number (3332677545687).

Almost surely, 2^{13013312321213} is an apocalyptic number.

It is an amenable number.

13013312321213 is a deficient number, since it is larger than the sum of its proper divisors (317397861535).

13013312321213 is an equidigital number, since it uses as much as digits as its factorization.

13013312321213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317397861534.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 13013312321213 its reverse (31212321331031), we get a palindrome (44225633652244).

The spelling of 13013312321213 in words is "thirteen trillion, thirteen billion, three hundred twelve million, three hundred twenty-one thousand, two hundred thirteen".