13411120317516 has 240 divisors, whose sum is σ = 38980968463360. Its totient is φ = 4003158983040.

The previous prime is 13411120317461. The next prime is 13411120317571. The reversal of 13411120317516 is 61571302111431.

13411120317516 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 1 + 120 + 3 + 17 + 516 = 666.

It is an interprime number because it is at equal distance from previous prime (13411120317461) and next prime (13411120317571).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7388790 + ... + 9023106.

Almost surely, 2^{13411120317516} 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 13411120317516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19490484231680).

13411120317516 is an abundant number, since it is smaller than the sum of its proper divisors (25569848145844).

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

13411120317516 is a wasteful number, since it uses less digits than its factorization.

13411120317516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634426 (or 1634415 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 13411120317516 its reverse (61571302111431), we get a palindrome (74982422428947).

The spelling of 13411120317516 in words is "thirteen trillion, four hundred eleven billion, one hundred twenty million, three hundred seventeen thousand, five hundred sixteen".