13323233121132 has 96 divisors (see below), whose sum is σ = 34784809323264. Its totient is φ = 3934084089600.

The previous prime is 13323233121101. The next prime is 13323233121151. The reversal of 13323233121132 is 23112133232331.

13323233121132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13323233121132² (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 self number, because there is not a number n which added to its sum of digits gives 13323233121132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398163 + ... + 5177354.

It is an arithmetic number, because the mean of its divisors is an integer number (362341763784).

Almost surely, 2^{13323233121132} is an apocalyptic number.

13323233121132 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 13323233121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17392404661632).

13323233121132 is an abundant number, since it is smaller than the sum of its proper divisors (21461576202132).

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

13323233121132 is a wasteful number, since it uses less digits than its factorization.

13323233121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575999 (or 5575997 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 13323233121132 its reverse (23112133232331), we get a palindrome (36435366353463).

The spelling of 13323233121132 in words is "thirteen trillion, three hundred twenty-three billion, two hundred thirty-three million, one hundred twenty-one thousand, one hundred thirty-two".