13275107712 has 128 divisors (see below), whose sum is σ = 39765475200. Its totient is φ = 4358914560.

The previous prime is 13275107687. The next prime is 13275107761. The reversal of 13275107712 is 21770157231.

It is a happy number.

13275107712 is a `hidden beast` number, since 132 + 7 + 510 + 7 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202887 + ... + 260217.

It is an arithmetic number, because the mean of its divisors is an integer number (310667775).

Almost surely, 2^13275107712 is an apocalyptic number.

13275107712 is a gapful number since it is divisible by the number (12) 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 13275107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19882737600).

13275107712 is an abundant number, since it is smaller than the sum of its proper divisors (26490367488).

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

13275107712 is an equidigital number, since it uses as much as digits as its factorization.

13275107712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57421 (or 57403 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 13275107712 in words is "thirteen billion, two hundred seventy-five million, one hundred seven thousand, seven hundred twelve".