13120113312 has 144 divisors (see below), whose sum is σ = 37864768032. Its totient is φ = 4308825600.

The previous prime is 13120113299. The next prime is 13120113313. The reversal of 13120113312 is 21331102131.

13120113312 is a `hidden beast` number, since 131 + 201 + 1 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13120113313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6601983 + ... + 6603969.

It is an arithmetic number, because the mean of its divisors is an integer number (262949778).

Almost surely, 2^13120113312 is an apocalyptic number.

13120113312 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 13120113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932384016).

13120113312 is an abundant number, since it is smaller than the sum of its proper divisors (24744654720).

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

13120113312 is a wasteful number, since it uses less digits than its factorization.

13120113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13120113312 its reverse (21331102131), we get a palindrome (34451215443).

The spelling of 13120113312 in words is "thirteen billion, one hundred twenty million, one hundred thirteen thousand, three hundred twelve".