13321211221213 has 8 divisors (see below), whose sum is σ = 15301521810432. Its totient is φ = 11360220735696.

The previous prime is 13321211221181. The next prime is 13321211221259. The reversal of 13321211221213 is 31212211212331.

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

It is not a de Polignac number, because 13321211221213 - 2⁵ = 13321211221181 is a prime.

It is a super-3 number, since 3×13321211221213³ (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321211261213) 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, 4830024445 + ... + 4830027202.

It is an arithmetic number, because the mean of its divisors is an integer number (1912690226304).

Almost surely, 2^{13321211221213} is an apocalyptic number.

It is an amenable number.

13321211221213 is a deficient number, since it is larger than the sum of its proper divisors (1980310589219).

13321211221213 is an equidigital number, since it uses as much as digits as its factorization.

13321211221213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9660051851.

The product of its digits is 864, while the sum is 25.

Adding to 13321211221213 its reverse (31212211212331), we get a palindrome (44533422433544).

The spelling of 13321211221213 in words is "thirteen trillion, three hundred twenty-one billion, two hundred eleven million, two hundred twenty-one thousand, two hundred thirteen".