13131472809312 has 432 divisors, whose sum is σ = 45143984733120. Its totient is φ = 3594981519360.

The previous prime is 13131472809311. The next prime is 13131472809349. The reversal of 13131472809312 is 21390827413131.

13131472809312 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 472 + 80 + 93 + 12 = 666.

13131472809312 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 (13131472809311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20983764 + ... + 21600492.

It is an arithmetic number, because the mean of its divisors is an integer number (104499964660).

Almost surely, 2^{13131472809312} is an apocalyptic number.

13131472809312 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 13131472809312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22571992366560).

13131472809312 is an abundant number, since it is smaller than the sum of its proper divisors (32012511923808).

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

13131472809312 is a wasteful number, since it uses less digits than its factorization.

13131472809312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616827 (or 616805 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13131472809312 in words is "thirteen trillion, one hundred thirty-one billion, four hundred seventy-two million, eight hundred nine thousand, three hundred twelve".