13013015468544 has 2560 divisors, whose sum is σ = 52356648960000. Its totient is φ = 3160365465600.

The previous prime is 13013015468507. The next prime is 13013015468627. The reversal of 13013015468544 is 44586451031031.

It is a happy number.

13013015468544 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 30 + 15 + 4 + 68 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13013015468544.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48018507129 + ... + 48018507399.

It is an arithmetic number, because the mean of its divisors is an integer number (20451816000).

Almost surely, 2^{13013015468544} is an apocalyptic number.

13013015468544 is a gapful number since it is divisible by the number (14) 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 13013015468544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26178324480000).

13013015468544 is an abundant number, since it is smaller than the sum of its proper divisors (39343633491456).

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

13013015468544 is a wasteful number, since it uses less digits than its factorization.

13013015468544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

Adding to 13013015468544 its reverse (44586451031031), we get a palindrome (57599466499575).

The spelling of 13013015468544 in words is "thirteen trillion, thirteen billion, fifteen million, four hundred sixty-eight thousand, five hundred forty-four".