13140320256 has 672 divisors, whose sum is σ = 48088954368. Its totient is φ = 3503554560.

The previous prime is 13140320227. The next prime is 13140320299. The reversal of 13140320256 is 65202304131.

13140320256 is a `hidden beast` number, since 1 + 3 + 1 + 403 + 2 + 0 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320495596 + ... + 320495636.

It is an arithmetic number, because the mean of its divisors is an integer number (71560944).

Almost surely, 2^13140320256 is an apocalyptic number.

13140320256 is a gapful number since it is divisible by the number (16) 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 13140320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24044477184).

13140320256 is an abundant number, since it is smaller than the sum of its proper divisors (34948634112).

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

13140320256 is an frugal number, since it uses more digits than its factorization.

13140320256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13140320256 its reverse (65202304131), we get a palindrome (78342624387).

The spelling of 13140320256 in words is "thirteen billion, one hundred forty million, three hundred twenty thousand, two hundred fifty-six".