13105450008000 has 672 divisors, whose sum is σ = 56729235109248. Its totient is φ = 2819321856000.

The previous prime is 13105450007999. The next prime is 13105450008019. The reversal of 13105450008000 is 80005450131.

13105450008000 is a `hidden beast` number, since 1 + 31 + 0 + 54 + 500 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7803210 + ... + 9332790.

Almost surely, 2^{13105450008000} is an apocalyptic number.

13105450008000 is a gapful number since it is divisible by the number (10) 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 13105450008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28364617554624).

13105450008000 is an abundant number, since it is smaller than the sum of its proper divisors (43623785101248).

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

13105450008000 is a wasteful number, since it uses less digits than its factorization.

13105450008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529638 (or 1529615 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 13105450008000 its reverse (80005450131), we get a palindrome (13185455458131).

The spelling of 13105450008000 in words is "thirteen trillion, one hundred five billion, four hundred fifty million, eight thousand".