13005129047040 has 3168 divisors, whose sum is σ = 55935853646400. Its totient is φ = 2764623052800.

The previous prime is 13005129047023. The next prime is 13005129047063. The reversal of 13005129047040 is 4074092150031.

13005129047040 is a `hidden beast` number, since 1 + 30 + 0 + 512 + 9 + 0 + 4 + 70 + 40 = 666.

13005129047040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13005129046986 and 13005129047004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 317198269420 + ... + 317198269460.

Almost surely, 2^{13005129047040} is an apocalyptic number.

13005129047040 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 13005129047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27967926823200).

13005129047040 is an abundant number, since it is smaller than the sum of its proper divisors (42930724599360).

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

13005129047040 is a wasteful number, since it uses less digits than its factorization.

13005129047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13005129047040 in words is "thirteen trillion, five billion, one hundred twenty-nine million, forty-seven thousand, forty".