13140013041312 has 96 divisors (see below), whose sum is σ = 34777345075200. Its totient is φ = 4343979467520.

The previous prime is 13140013041289. The next prime is 13140013041329. The reversal of 13140013041312 is 21314031004131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4835533 + ... + 7047155.

It is an arithmetic number, because the mean of its divisors is an integer number (362264011200).

Almost surely, 2^{13140013041312} is an apocalyptic number.

13140013041312 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 13140013041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388672537600).

13140013041312 is an abundant number, since it is smaller than the sum of its proper divisors (21637332033888).

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

13140013041312 is a wasteful number, since it uses less digits than its factorization.

13140013041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212146 (or 2212138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13140013041312 its reverse (21314031004131), we get a palindrome (34454044045443).

The spelling of 13140013041312 in words is "thirteen trillion, one hundred forty billion, thirteen million, forty-one thousand, three hundred twelve".