13321213312242 has 192 divisors, whose sum is σ = 31808480457600. Its totient is φ = 3703741747200.

The previous prime is 13321213312163. The next prime is 13321213312271. The reversal of 13321213312242 is 24221331212331.

It is a super-2 number, since 2×13321213312242² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77394934 + ... + 77566862.

It is an arithmetic number, because the mean of its divisors is an integer number (165669169050).

Almost surely, 2^{13321213312242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321213312242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15904240228800).

13321213312242 is an abundant number, since it is smaller than the sum of its proper divisors (18487267145358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13321213312242 is a wasteful number, since it uses less digits than its factorization.

13321213312242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172153 (or 172142 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 13321213312242 its reverse (24221331212331), we get a palindrome (37542544524573).

The spelling of 13321213312242 in words is "thirteen trillion, three hundred twenty-one billion, two hundred thirteen million, three hundred twelve thousand, two hundred forty-two".