13032122332032 has 192 divisors, whose sum is σ = 39772699574400. Its totient is φ = 4081769644032.

The previous prime is 13032122331997. The next prime is 13032122332147. The reversal of 13032122332032 is 23023322123031.

13032122332032 is a `hidden beast` number, since 1 + 3 + 0 + 321 + 2 + 2 + 332 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 13032122331987 and 13032122332005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11339344 + ... + 12435632.

It is an arithmetic number, because the mean of its divisors is an integer number (207149476950).

Almost surely, 2^{13032122332032} is an apocalyptic number.

13032122332032 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 13032122332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19886349787200).

13032122332032 is an abundant number, since it is smaller than the sum of its proper divisors (26740577242368).

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

13032122332032 is a wasteful number, since it uses less digits than its factorization.

13032122332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096933 (or 1096918 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13032122332032 its reverse (23023322123031), we get a palindrome (36055444455063).

The spelling of 13032122332032 in words is "thirteen trillion, thirty-two billion, one hundred twenty-two million, three hundred thirty-two thousand, thirty-two".