13132312120004 has 432 divisors, whose sum is σ = 30370965811200. Its totient is φ = 4948389452160.

The previous prime is 13132312119937. The next prime is 13132312120021. The reversal of 13132312120004 is 40002121323131.

13132312120004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35782866629 + ... + 35782866995.

It is an arithmetic number, because the mean of its divisors is an integer number (70303161600).

Almost surely, 2^{13132312120004} is an apocalyptic number.

13132312120004 is a gapful number since it is divisible by the number (14) 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 13132312120004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185482905600).

13132312120004 is an abundant number, since it is smaller than the sum of its proper divisors (17238653691196).

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

13132312120004 is a wasteful number, since it uses less digits than its factorization.

13132312120004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13132312120004 its reverse (40002121323131), we get a palindrome (53134433443135).

The spelling of 13132312120004 in words is "thirteen trillion, one hundred thirty-two billion, three hundred twelve million, one hundred twenty thousand, four".