13331343880176 has 480 divisors, whose sum is σ = 42392299719168. Its totient is φ = 3534651095040.

The previous prime is 13331343880171. The next prime is 13331343880177. The reversal of 13331343880176 is 67108834313331.

13331343880176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331343880171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5213664690 + ... + 5213667246.

Almost surely, 2^{13331343880176} is an apocalyptic number.

13331343880176 is a gapful number since it is divisible by the number (16) 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 13331343880176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21196149859584).

13331343880176 is an abundant number, since it is smaller than the sum of its proper divisors (29060955838992).

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

13331343880176 is a wasteful number, since it uses less digits than its factorization.

13331343880176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 13331343880176 in words is "thirteen trillion, three hundred thirty-one billion, three hundred forty-three million, eight hundred eighty thousand, one hundred seventy-six".