13015298326752 has 288 divisors, whose sum is σ = 40412223371520. Its totient is φ = 4109180544000.

The previous prime is 13015298326729. The next prime is 13015298326753. The reversal of 13015298326752 is 25762389251031.

13015298326752 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 529 + 8 + 3 + 2 + 67 + 52 = 666.

13015298326752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13015298326753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034349453 + ... + 1034362035.

It is an arithmetic number, because the mean of its divisors is an integer number (140320220040).

Almost surely, 2^{13015298326752} is an apocalyptic number.

13015298326752 is a gapful number since it is divisible by the number (12) 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 13015298326752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20206111685760).

13015298326752 is an abundant number, since it is smaller than the sum of its proper divisors (27396925044768).

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

13015298326752 is a wasteful number, since it uses less digits than its factorization.

13015298326752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19628 (or 19608 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 13015298326752 in words is "thirteen trillion, fifteen billion, two hundred ninety-eight million, three hundred twenty-six thousand, seven hundred fifty-two".