13121013121313 has 8 divisors (see below), whose sum is σ = 13170953938440. Its totient is φ = 13071095331840.

The previous prime is 13121013121217. The next prime is 13121013121393. The reversal of 13121013121313 is 31312131012131.

It can be written as a sum of positive squares in 4 ways, for example, as 2152417620544 + 10968595500769 = 1467112^2 + 3311887^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13121013121313 - 2¹⁰ = 13121013120289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13121013121393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4614728 + ... + 6894761.

It is an arithmetic number, because the mean of its divisors is an integer number (1646369242305).

Almost surely, 2^{13121013121313} is an apocalyptic number.

It is an amenable number.

13121013121313 is a deficient number, since it is larger than the sum of its proper divisors (49940817127).

13121013121313 is a wasteful number, since it uses less digits than its factorization.

13121013121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11513827.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 13121013121313 its reverse (31312131012131), we get a palindrome (44433144133444).

The spelling of 13121013121313 in words is "thirteen trillion, one hundred twenty-one billion, thirteen million, one hundred twenty-one thousand, three hundred thirteen".