13132316617056 has 384 divisors, whose sum is σ = 49914692674560. Its totient is φ = 3259734368256.

The previous prime is 13132316617033. The next prime is 13132316617097. The reversal of 13132316617056 is 65071661323131.

13132316617056 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 23 + 1 + 6 + 617 + 0 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3575946 + ... + 6249161.

It is an arithmetic number, because the mean of its divisors is an integer number (129986178840).

Almost surely, 2^{13132316617056} is an apocalyptic number.

13132316617056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13132316617056 is an abundant number, since it is smaller than the sum of its proper divisors (36782376057504).

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

13132316617056 is a wasteful number, since it uses less digits than its factorization.

13132316617056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9825163 (or 9825149 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 13132316617056 in words is "thirteen trillion, one hundred thirty-two billion, three hundred sixteen million, six hundred seventeen thousand, fifty-six".