13322034330132 has 192 divisors, whose sum is σ = 34699769072640. Its totient is φ = 3943962316800.

The previous prime is 13322034330103. The next prime is 13322034330167. The reversal of 13322034330132 is 23103343022331.

It is a super-4 number, since 4×13322034330132⁴ (a number of 54 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13322034330132.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4159234843 + ... + 4159238045.

It is an arithmetic number, because the mean of its divisors is an integer number (180727963920).

Almost surely, 2^{13322034330132} is an apocalyptic number.

13322034330132 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 13322034330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17349884536320).

13322034330132 is an abundant number, since it is smaller than the sum of its proper divisors (21377734742508).

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

13322034330132 is a wasteful number, since it uses less digits than its factorization.

13322034330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6612 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 13322034330132 its reverse (23103343022331), we get a palindrome (36425377352463).

The spelling of 13322034330132 in words is "thirteen trillion, three hundred twenty-two billion, thirty-four million, three hundred thirty thousand, one hundred thirty-two".