13011254002432 has 216 divisors, whose sum is σ = 32140849915440. Its totient is φ = 5223345684480.

The previous prime is 13011254002403. The next prime is 13011254002433. The reversal of 13011254002432 is 23420045211031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13011254002432.

It is not an unprimeable number, because it can be changed into a prime (13011254002433) 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 23 ways as a sum of consecutive naturals, for example, 44850744 + ... + 45139912.

It is an arithmetic number, because the mean of its divisors is an integer number (148800231090).

Almost surely, 2^{13011254002432} 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 13011254002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070424957720).

13011254002432 is an abundant number, since it is smaller than the sum of its proper divisors (19129595913008).

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

13011254002432 is a wasteful number, since it uses less digits than its factorization.

13011254002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289427 (or 289406 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 13011254002432 its reverse (23420045211031), we get a palindrome (36431299213463).

The spelling of 13011254002432 in words is "thirteen trillion, eleven billion, two hundred fifty-four million, two thousand, four hundred thirty-two".