13006531437040 has 160 divisors (see below), whose sum is σ = 32579011238400. Its totient is φ = 4813138713600.

The previous prime is 13006531437017. The next prime is 13006531437149. The reversal of 13006531437040 is 4073413560031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349722766 + ... + 349759954.

It is an arithmetic number, because the mean of its divisors is an integer number (203618820240).

Almost surely, 2^{13006531437040} is an apocalyptic number.

13006531437040 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 13006531437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16289505619200).

13006531437040 is an abundant number, since it is smaller than the sum of its proper divisors (19572479801360).

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

13006531437040 is a wasteful number, since it uses less digits than its factorization.

13006531437040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42615 (or 42609 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

Adding to 13006531437040 its reverse (4073413560031), we get a palindrome (17079944997071).

The spelling of 13006531437040 in words is "thirteen trillion, six billion, five hundred thirty-one million, four hundred thirty-seven thousand, forty".