13321000213313 has 8 divisors (see below), whose sum is σ = 14345931811008. Its totient is φ = 12296102797584.

The previous prime is 13321000213271. The next prime is 13321000213361. The reversal of 13321000213313 is 31331200012331.

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 13321000213313 - 2⁶ = 13321000213249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13321000213373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7733231 + ... + 9297572.

It is an arithmetic number, because the mean of its divisors is an integer number (1793241476376).

Almost surely, 2^{13321000213313} is an apocalyptic number.

13321000213313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13321000213313 is a deficient number, since it is larger than the sum of its proper divisors (1024931597695).

13321000213313 is a wasteful number, since it uses less digits than its factorization.

13321000213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17090983.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13321000213313 its reverse (31331200012331), we get a palindrome (44652200225644).

The spelling of 13321000213313 in words is "thirteen trillion, three hundred twenty-one billion, two hundred thirteen thousand, three hundred thirteen".