13131278616960 has 1024 divisors, whose sum is σ = 54916904448000. Its totient is φ = 2902663102464.

The previous prime is 13131278616931. The next prime is 13131278617013. The reversal of 13131278616960 is 6961687213131.

13131278616960 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 12 + 7 + 8 + 616 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13131278616897 and 13131278616906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 747403056 + ... + 747420624.

It is an arithmetic number, because the mean of its divisors is an integer number (53629789500).

Almost surely, 2^{13131278616960} is an apocalyptic number.

13131278616960 is a gapful number since it is divisible by the number (10) 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 13131278616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27458452224000).

13131278616960 is an abundant number, since it is smaller than the sum of its proper divisors (41785625831040).

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

13131278616960 is a wasteful number, since it uses less digits than its factorization.

13131278616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17808 (or 17790 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 13131278616960 in words is "thirteen trillion, one hundred thirty-one billion, two hundred seventy-eight million, six hundred sixteen thousand, nine hundred sixty".