13178100000 has 576 divisors, whose sum is σ = 48506895360. Its totient is φ = 3110400000.

The previous prime is 13178099959. The next prime is 13178100011. The reversal of 13178100000 is 187131.

It is a super-2 number, since 2×13178100000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13178100000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120899946 + ... + 120900054.

It is an arithmetic number, because the mean of its divisors is an integer number (84213360).

Almost surely, 2^13178100000 is an apocalyptic number.

13178100000 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 13178100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24253447680).

13178100000 is an abundant number, since it is smaller than the sum of its proper divisors (35328795360).

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

13178100000 is a wasteful number, since it uses less digits than its factorization.

13178100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 13178100000 its reverse (187131), we get a palindrome (13178287131).

The spelling of 13178100000 in words is "thirteen billion, one hundred seventy-eight million, one hundred thousand".