13014106560 has 1344 divisors, whose sum is σ = 61349363712. Its totient is φ = 2452488192.

The previous prime is 13014106529. The next prime is 13014106561. The reversal of 13014106560 is 6560141031.

13014106560 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 4 + 1 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13014106561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102473217 + ... + 102473343.

It is an arithmetic number, because the mean of its divisors is an integer number (45646848).

Almost surely, 2^13014106560 is an apocalyptic number.

13014106560 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 13014106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30674681856).

13014106560 is an abundant number, since it is smaller than the sum of its proper divisors (48335257152).

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

13014106560 is a wasteful number, since it uses less digits than its factorization.

13014106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13014106560 its reverse (6560141031), we get a palindrome (19574247591).

The spelling of 13014106560 in words is "thirteen billion, fourteen million, one hundred six thousand, five hundred sixty".