13125028534272 has 1008 divisors, whose sum is σ = 44025566293800. Its totient is φ = 3898500710400.

The previous prime is 13125028534231. The next prime is 13125028534279. The reversal of 13125028534272 is 27243582052131.

13125028534272 is a `hidden beast` number, since 1 + 3 + 1 + 25 + 0 + 28 + 534 + 2 + 72 = 666.

13125028534272 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 (13125028534279) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8198018272 + ... + 8198019872.

Almost surely, 2^{13125028534272} is an apocalyptic number.

13125028534272 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 13125028534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22012783146900).

13125028534272 is an abundant number, since it is smaller than the sum of its proper divisors (30900537759528).

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

13125028534272 is an equidigital number, since it uses as much as digits as its factorization.

13125028534272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 13125028534272 in words is "thirteen trillion, one hundred twenty-five billion, twenty-eight million, five hundred thirty-four thousand, two hundred seventy-two".