13221322134131 has 8 divisors (see below), whose sum is σ = 13223284838400. Its totient is φ = 13219359591240.

The previous prime is 13221322134107. The next prime is 13221322134143. The reversal of 13221322134131 is 13143122312231.

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 13221322134131 - 2³⁸ = 12946444227187 is a prime.

It is a super-3 number, since 3×13221322134131³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13221322134094 and 13221322134103.

It is not an unprimeable number, because it can be changed into a prime (13221322104131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335896430 + ... + 335935788.

It is an arithmetic number, because the mean of its divisors is an integer number (1652910604800).

Almost surely, 2^{13221322134131} is an apocalyptic number.

13221322134131 is a deficient number, since it is larger than the sum of its proper divisors (1962704269).

13221322134131 is a wasteful number, since it uses less digits than its factorization.

13221322134131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80689.

The product of its digits is 5184, while the sum is 29.

Adding to 13221322134131 its reverse (13143122312231), we get a palindrome (26364444446362).

The spelling of 13221322134131 in words is "thirteen trillion, two hundred twenty-one billion, three hundred twenty-two million, one hundred thirty-four thousand, one hundred thirty-one".