13110344002140 has 576 divisors, whose sum is σ = 49311506280960. Its totient is φ = 2569111050240.

The previous prime is 13110344002121. The next prime is 13110344002141. The reversal of 13110344002140 is 4120044301131.

It is a super-2 number, since 2×13110344002140² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13110344002140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110344002141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40165434 + ... + 40490526.

It is an arithmetic number, because the mean of its divisors is an integer number (85610253960).

Almost surely, 2^{13110344002140} is an apocalyptic number.

13110344002140 is a gapful number since it is divisible by the number (10) 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 13110344002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24655753140480).

13110344002140 is an abundant number, since it is smaller than the sum of its proper divisors (36201162278820).

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

13110344002140 is a wasteful number, since it uses less digits than its factorization.

13110344002140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325202 (or 325193 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13110344002140 its reverse (4120044301131), we get a palindrome (17230388303271).

The spelling of 13110344002140 in words is "thirteen trillion, one hundred ten billion, three hundred forty-four million, two thousand, one hundred forty".