13321013122313 has 8 divisors (see below), whose sum is σ = 14345748278400. Its totient is φ = 12296283943248.

The previous prime is 13321013122283. The next prime is 13321013122399. The reversal of 13321013122313 is 31322131012331.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13321013122313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13321013122013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3839858 + ... + 6433236.

It is an arithmetic number, because the mean of its divisors is an integer number (1793218534800).

Almost surely, 2^{13321013122313} is an apocalyptic number.

13321013122313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13321013122313 is a deficient number, since it is larger than the sum of its proper divisors (1024735156087).

13321013122313 is a wasteful number, since it uses less digits than its factorization.

13321013122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988511.

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

Adding to 13321013122313 its reverse (31322131012331), we get a palindrome (44643144134644).

The spelling of 13321013122313 in words is "thirteen trillion, three hundred twenty-one billion, thirteen million, one hundred twenty-two thousand, three hundred thirteen".