13131056505672 has 320 divisors, whose sum is σ = 42287525280000. Its totient is φ = 3729059182080.

The previous prime is 13131056505661. The next prime is 13131056505757. The reversal of 13131056505672 is 27650565013131.

13131056505672 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 10 + 565 + 0 + 5 + 6 + 72 = 666.

It is a super-3 number, since 3×13131056505672³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2462224318 + ... + 2462229650.

It is an arithmetic number, because the mean of its divisors is an integer number (132148516500).

Almost surely, 2^{13131056505672} is an apocalyptic number.

13131056505672 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 13131056505672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21143762640000).

13131056505672 is an abundant number, since it is smaller than the sum of its proper divisors (29156468774328).

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

13131056505672 is a wasteful number, since it uses less digits than its factorization.

13131056505672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8538 (or 8525 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 13131056505672 in words is "thirteen trillion, one hundred thirty-one billion, fifty-six million, five hundred five thousand, six hundred seventy-two".