13105143175488 has 896 divisors, whose sum is σ = 44613397118976. Its totient is φ = 3302498304000.

The previous prime is 13105143175477. The next prime is 13105143175499. The reversal of 13105143175488 is 88457134150131.

It is an interprime number because it is at equal distance from previous prime (13105143175477) and next prime (13105143175499).

It is a self number, because there is not a number n which added to its sum of digits gives 13105143175488.

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 127 ways as a sum of consecutive naturals, for example, 21805562388 + ... + 21805562988.

It is an arithmetic number, because the mean of its divisors is an integer number (49791737856).

Almost surely, 2^{13105143175488} 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 13105143175488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22306698559488).

13105143175488 is an abundant number, since it is smaller than the sum of its proper divisors (31508253943488).

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

13105143175488 is a wasteful number, since it uses less digits than its factorization.

13105143175488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 13105143175488 in words is "thirteen trillion, one hundred five billion, one hundred forty-three million, one hundred seventy-five thousand, four hundred eighty-eight".