13031221330332 has 216 divisors, whose sum is σ = 36935776843056. Its totient is φ = 3859818697728.

The previous prime is 13031221330289. The next prime is 13031221330363. The reversal of 13031221330332 is 23303312213031.

13031221330332 is a `hidden beast` number, since 1 + 3 + 0 + 312 + 2 + 13 + 3 + 0 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13031221330296 and 13031221330305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64632423 + ... + 64833729.

It is an arithmetic number, because the mean of its divisors is an integer number (170998966866).

Almost surely, 2^{13031221330332} is an apocalyptic number.

13031221330332 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 13031221330332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18467888421528).

13031221330332 is an abundant number, since it is smaller than the sum of its proper divisors (23904555512724).

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

13031221330332 is a wasteful number, since it uses less digits than its factorization.

13031221330332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201665 (or 201641 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13031221330332 its reverse (23303312213031), we get a palindrome (36334533543363).

The spelling of 13031221330332 in words is "thirteen trillion, thirty-one billion, two hundred twenty-one million, three hundred thirty thousand, three hundred thirty-two".