13012541568 has 256 divisors, whose sum is σ = 42068880000. Its totient is φ = 3935195136.

The previous prime is 13012541527. The next prime is 13012541623. The reversal of 13012541568 is 86514521031.

13012541568 is a `hidden beast` number, since 1 + 30 + 1 + 25 + 41 + 568 = 666.

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 31 ways as a sum of consecutive naturals, for example, 2648298 + ... + 2653206.

Almost surely, 2^13012541568 is an apocalyptic number.

13012541568 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 13012541568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034440000).

13012541568 is an abundant number, since it is smaller than the sum of its proper divisors (29056338432).

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

13012541568 is a wasteful number, since it uses less digits than its factorization.

13012541568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 13012541568 in words is "thirteen billion, twelve million, five hundred forty-one thousand, five hundred sixty-eight".