13130805168 has 270 divisors, whose sum is σ = 42293281524. Its totient is φ = 3800549376.

The previous prime is 13130805167. The next prime is 13130805169. The reversal of 13130805168 is 86150803131.

13130805168 is a `hidden beast` number, since 1 + 3 + 130 + 8 + 0 + 516 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13130805167) and next prime (13130805169).

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

It is not an unprimeable number, because it can be changed into a prime (13130805167) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7032171 + ... + 7034037.

Almost surely, 2^13130805168 is an apocalyptic number.

13130805168 is a gapful number since it is divisible by the number (18) 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 13130805168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21146640762).

13130805168 is an abundant number, since it is smaller than the sum of its proper divisors (29162476356).

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

13130805168 is a wasteful number, since it uses less digits than its factorization.

13130805168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13130805168 in words is "thirteen billion, one hundred thirty million, eight hundred five thousand, one hundred sixty-eight".