13131147085056 has 3240 divisors, whose sum is σ = 56551522966400. Its totient is φ = 2948241162240.

The previous prime is 13131147085037. The next prime is 13131147085057. The reversal of 13131147085056 is 65058074113131.

13131147085056 is a `hidden beast` number, since 1 + 3 + 131 + 1 + 4 + 7 + 0 + 8 + 505 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131147085057) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 65985663645 + ... + 65985663843.

Almost surely, 2^{13131147085056} is an apocalyptic number.

13131147085056 is a gapful number since it is divisible by the number (16) 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 13131147085056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28275761483200).

13131147085056 is an abundant number, since it is smaller than the sum of its proper divisors (43420375881344).

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

13131147085056 is a wasteful number, since it uses less digits than its factorization.

13131147085056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 13131147085056 in words is "thirteen trillion, one hundred thirty-one billion, one hundred forty-seven million, eighty-five thousand, fifty-six".