13181129353656 has 192 divisors, whose sum is σ = 40327355858400. Its totient is φ = 3886327019520.

The previous prime is 13181129353643. The next prime is 13181129353703. The reversal of 13181129353656 is 65635392118131.

It is a happy number.

13181129353656 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 1 + 12 + 93 + 536 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1687080 + ... + 5404488.

Almost surely, 2^{13181129353656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13181129353656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20163677929200).

13181129353656 is an abundant number, since it is smaller than the sum of its proper divisors (27146226504744).

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

13181129353656 is a wasteful number, since it uses less digits than its factorization.

13181129353656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717491 (or 3717462 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 13181129353656 in words is "thirteen trillion, one hundred eighty-one billion, one hundred twenty-nine million, three hundred fifty-three thousand, six hundred fifty-six".