13117104000 has 1728 divisors, whose sum is σ = 64731448080. Its totient is φ = 2515968000.

The previous prime is 13117103971. The next prime is 13117104029. The reversal of 13117104000 is 40171131.

13117104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13117103971) and next prime (13117104029).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1009007994 + ... + 1009008006.

Almost surely, 2^13117104000 is an apocalyptic number.

13117104000 is a gapful number since it is divisible by the number (10) 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 13117104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32365724040).

13117104000 is an abundant number, since it is smaller than the sum of its proper divisors (51614344080).

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

13117104000 is a wasteful number, since it uses less digits than its factorization.

13117104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 13117104000 its reverse (40171131), we get a palindrome (13157275131).

The spelling of 13117104000 in words is "thirteen billion, one hundred seventeen million, one hundred four thousand".