13127730210240 has 224 divisors, whose sum is σ = 43879227456000. Its totient is φ = 3316103442432.

The previous prime is 13127730210239. The next prime is 13127730210241. The reversal of 13127730210240 is 4201203772131.

It is an interprime number because it is at equal distance from previous prime (13127730210239) and next prime (13127730210241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13127730210241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183622821 + ... + 183694299.

Almost surely, 2^{13127730210240} is an apocalyptic number.

13127730210240 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 13127730210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21939613728000).

13127730210240 is an abundant number, since it is smaller than the sum of its proper divisors (30751497245760).

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

13127730210240 is a wasteful number, since it uses less digits than its factorization.

13127730210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81587 (or 81577 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 13127730210240 its reverse (4201203772131), we get a palindrome (17328933982371).

The spelling of 13127730210240 in words is "thirteen trillion, one hundred twenty-seven billion, seven hundred thirty million, two hundred ten thousand, two hundred forty".