13126000160 has 288 divisors, whose sum is σ = 39631721472. Its totient is φ = 4018360320.

The previous prime is 13126000123. The next prime is 13126000163. The reversal of 13126000160 is 6100062131.

13126000160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13126000163) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5866562 + ... + 5868798.

It is an arithmetic number, because the mean of its divisors is an integer number (137610144).

Almost surely, 2^13126000160 is an apocalyptic number.

13126000160 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 13126000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19815860736).

13126000160 is an abundant number, since it is smaller than the sum of its proper divisors (26505721312).

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

13126000160 is a wasteful number, since it uses less digits than its factorization.

13126000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13126000160 its reverse (6100062131), we get a palindrome (19226062291).

The spelling of 13126000160 in words is "thirteen billion, one hundred twenty-six million, one hundred sixty", and thus it is an aban number.