13248130272 has 192 divisors, whose sum is σ = 39467990016. Its totient is φ = 3860398080.

The previous prime is 13248130237. The next prime is 13248130327. The reversal of 13248130272 is 27203184231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2954272 + ... + 2958752.

It is an arithmetic number, because the mean of its divisors is an integer number (205562448).

Almost surely, 2^13248130272 is an apocalyptic number.

13248130272 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 13248130272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19733995008).

13248130272 is an abundant number, since it is smaller than the sum of its proper divisors (26219859744).

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

13248130272 is a wasteful number, since it uses less digits than its factorization.

13248130272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 13248130272 in words is "thirteen billion, two hundred forty-eight million, one hundred thirty thousand, two hundred seventy-two".