13321314312231 has 16 divisors (see below), whose sum is σ = 18381106114560. Its totient is φ = 8571428675040.

The previous prime is 13321314312209. The next prime is 13321314312259. The reversal of 13321314312231 is 13221341312331.

It is a de Polignac number, because none of the positive numbers 2^k-13321314312231 is a prime.

It is a super-3 number, since 3×13321314312231³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321314322231) 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 15 ways as a sum of consecutive naturals, for example, 28430775 + ... + 28895528.

It is an arithmetic number, because the mean of its divisors is an integer number (1148819132160).

Almost surely, 2^{13321314312231} is an apocalyptic number.

13321314312231 is a deficient number, since it is larger than the sum of its proper divisors (5059791802329).

13321314312231 is a wasteful number, since it uses less digits than its factorization.

13321314312231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57329006.

The product of its digits is 7776, while the sum is 30.

Adding to 13321314312231 its reverse (13221341312331), we get a palindrome (26542655624562).

The spelling of 13321314312231 in words is "thirteen trillion, three hundred twenty-one billion, three hundred fourteen million, three hundred twelve thousand, two hundred thirty-one".