13125585317088 has 192 divisors, whose sum is σ = 35926917562368. Its totient is φ = 4192919047680.

The previous prime is 13125585317083. The next prime is 13125585317137. The reversal of 13125585317088 is 88071358552131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125585317083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50354773 + ... + 50614763.

It is an arithmetic number, because the mean of its divisors is an integer number (187119362304).

Almost surely, 2^{13125585317088} 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 13125585317088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17963458781184).

13125585317088 is an abundant number, since it is smaller than the sum of its proper divisors (22801332245280).

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

13125585317088 is a wasteful number, since it uses less digits than its factorization.

13125585317088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260285 (or 260277 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 57.

The spelling of 13125585317088 in words is "thirteen trillion, one hundred twenty-five billion, five hundred eighty-five million, three hundred seventeen thousand, eighty-eight".