13001312112 has 80 divisors (see below), whose sum is σ = 34095317760. Its totient is φ = 4268275200.

The previous prime is 13001312111. The next prime is 13001312119. The reversal of 13001312112 is 21121310031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13001312091 and 13001312100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001312111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5482287 + ... + 5484657.

It is an arithmetic number, because the mean of its divisors is an integer number (426191472).

Almost surely, 2^13001312112 is an apocalyptic number.

13001312112 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 13001312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17047658880).

13001312112 is an abundant number, since it is smaller than the sum of its proper divisors (21094005648).

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

13001312112 is a wasteful number, since it uses less digits than its factorization.

13001312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13001312112 its reverse (21121310031), we get a palindrome (34122622143).

The spelling of 13001312112 in words is "thirteen billion, one million, three hundred twelve thousand, one hundred twelve".