13140020423312 has 80 divisors (see below), whose sum is σ = 26600624884080. Its totient is φ = 6279899136000.

The previous prime is 13140020423293. The next prime is 13140020423317. The reversal of 13140020423312 is 21332402004131.

It can be written as a sum of positive squares in 8 ways, for example, as 464027990416 + 12675992432896 = 681196^2 + 3560336^2 .

It is not an unprimeable number, because it can be changed into a prime (13140020423317) 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, 725117612 + ... + 725135732.

It is an arithmetic number, because the mean of its divisors is an integer number (332507811051).

Almost surely, 2^{13140020423312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140020423312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300312442040).

13140020423312 is an abundant number, since it is smaller than the sum of its proper divisors (13460604460768).

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

13140020423312 is a wasteful number, since it uses less digits than its factorization.

13140020423312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33732 (or 33726 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13140020423312 its reverse (21332402004131), we get a palindrome (34472422427443).

The spelling of 13140020423312 in words is "thirteen trillion, one hundred forty billion, twenty million, four hundred twenty-three thousand, three hundred twelve".