13041110172096 has 448 divisors, whose sum is σ = 41443387776000. Its totient is φ = 4007807631360.

The previous prime is 13041110172049. The next prime is 13041110172143. The reversal of 13041110172096 is 69027101114031.

13041110172096 is a `hidden beast` number, since 1 + 30 + 411 + 1 + 0 + 1 + 7 + 209 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13041110172049) and next prime (13041110172143).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13041110172096.

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 63 ways as a sum of consecutive naturals, for example, 550547965 + ... + 550571651.

It is an arithmetic number, because the mean of its divisors is an integer number (92507562000).

Almost surely, 2^{13041110172096} is an apocalyptic number.

13041110172096 is a gapful number since it is divisible by the number (16) 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 13041110172096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20721693888000).

13041110172096 is an abundant number, since it is smaller than the sum of its proper divisors (28402277603904).

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

13041110172096 is a wasteful number, since it uses less digits than its factorization.

13041110172096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24177 (or 24161 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 13041110172096 in words is "thirteen trillion, forty-one billion, one hundred ten million, one hundred seventy-two thousand, ninety-six".