13121321322213 has 48 divisors (see below), whose sum is σ = 20746557437424. Its totient is φ = 7941902100480.

The previous prime is 13121321322203. The next prime is 13121321322229. The reversal of 13121321322213 is 31222312312131.

13121321322213 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 321 + 322 + 2 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 86672537604 + 13034648784609 = 294402^2 + 3610353^2 .

It is not a de Polignac number, because 13121321322213 - 2¹² = 13121321318117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121321322203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229875645 + ... + 229932717.

It is an arithmetic number, because the mean of its divisors is an integer number (432219946613).

Almost surely, 2^{13121321322213} is an apocalyptic number.

13121321322213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13121321322213 is a deficient number, since it is larger than the sum of its proper divisors (7625236115211).

13121321322213 is a wasteful number, since it uses less digits than its factorization.

13121321322213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89366 (or 89363 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13121321322213 its reverse (31222312312131), we get a palindrome (44343633634344).

The spelling of 13121321322213 in words is "thirteen trillion, one hundred twenty-one billion, three hundred twenty-one million, three hundred twenty-two thousand, two hundred thirteen".