13232817303552 has 2496 divisors, whose sum is σ = 54847250534400. Its totient is φ = 3053825556480.

The previous prime is 13232817303547. The next prime is 13232817303581. The reversal of 13232817303552 is 25530371823231.

13232817303552 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 28 + 1 + 73 + 0 + 3 + 552 = 666.

It is a super-3 number, since 3×13232817303552³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13232817303498 and 13232817303507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46759071603 + ... + 46759071885.

Almost surely, 2^{13232817303552} is an apocalyptic number.

13232817303552 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 13232817303552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27423625267200).

13232817303552 is an abundant number, since it is smaller than the sum of its proper divisors (41614433230848).

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

13232817303552 is a wasteful number, since it uses less digits than its factorization.

13232817303552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 13232817303552 in words is "thirteen trillion, two hundred thirty-two billion, eight hundred seventeen million, three hundred three thousand, five hundred fifty-two".