12831213216528 has 480 divisors, whose sum is σ = 42938513759232. Its totient is φ = 3501364838400.

The previous prime is 12831213216499. The next prime is 12831213216533. The reversal of 12831213216528 is 82561231213821.

12831213216528 is a `hidden beast` number, since 1 + 2 + 8 + 312 + 1 + 321 + 6 + 5 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316089513 + ... + 316130103.

Almost surely, 2^{12831213216528} is an apocalyptic number.

12831213216528 is a gapful number since it is divisible by the number (18) 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 12831213216528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21469256879616).

12831213216528 is an abundant number, since it is smaller than the sum of its proper divisors (30107300542704).

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

12831213216528 is a wasteful number, since it uses less digits than its factorization.

12831213216528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40823 (or 40814 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 12831213216528 in words is "twelve trillion, eight hundred thirty-one billion, two hundred thirteen million, two hundred sixteen thousand, five hundred twenty-eight".