13135316616 has 128 divisors (see below), whose sum is σ = 37498204800. Its totient is φ = 4257792000.

The previous prime is 13135316573. The next prime is 13135316633. The reversal of 13135316616 is 61661353131.

13135316616 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 31 + 6 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2929096 + ... + 2933576.

It is an arithmetic number, because the mean of its divisors is an integer number (292954725).

Almost surely, 2^13135316616 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 13135316616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18749102400).

13135316616 is an abundant number, since it is smaller than the sum of its proper divisors (24362888184).

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

13135316616 is a wasteful number, since it uses less digits than its factorization.

13135316616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4858 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

Adding to 13135316616 its reverse (61661353131), we get a palindrome (74796669747).

The spelling of 13135316616 in words is "thirteen billion, one hundred thirty-five million, three hundred sixteen thousand, six hundred sixteen".