13121111322132 has 96 divisors (see below), whose sum is σ = 35170021662720. Its totient is φ = 3765435828480.

The previous prime is 13121111322119. The next prime is 13121111322139. The reversal of 13121111322132 is 23122311112131.

It is a super-2 number, since 2×13121111322132² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121111322139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5840013 + ... + 7768395.

It is an arithmetic number, because the mean of its divisors is an integer number (366354392320).

Almost surely, 2^{13121111322132} is an apocalyptic number.

13121111322132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121111322132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17585010831360).

13121111322132 is an abundant number, since it is smaller than the sum of its proper divisors (22048910340588).

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

13121111322132 is a wasteful number, since it uses less digits than its factorization.

13121111322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931133 (or 1931131 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

Adding to 13121111322132 its reverse (23122311112131), we get a palindrome (36243422434263).

The spelling of 13121111322132 in words is "thirteen trillion, one hundred twenty-one billion, one hundred eleven million, three hundred twenty-two thousand, one hundred thirty-two".