13121221313322 has 48 divisors (see below), whose sum is σ = 29928936024000. Its totient is φ = 4143080619072.

The previous prime is 13121221313281. The next prime is 13121221313363. The reversal of 13121221313322 is 22331312212131.

13121221313322 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 2 + 21 + 313 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (13121221313281) and next prime (13121221313363).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 928579 + ... + 5206217.

It is an arithmetic number, because the mean of its divisors is an integer number (623519500500).

Almost surely, 2^{13121221313322} is an apocalyptic number.

13121221313322 is an abundant number, since it is smaller than the sum of its proper divisors (16807714710678).

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

13121221313322 is a wasteful number, since it uses less digits than its factorization.

13121221313322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286635 (or 4286632 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13121221313322 its reverse (22331312212131), we get a palindrome (35452533525453).

The spelling of 13121221313322 in words is "thirteen trillion, one hundred twenty-one billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred twenty-two".