13305155052072 has 128 divisors (see below), whose sum is σ = 37402468911360. Its totient is φ = 3913443072000.

The previous prime is 13305155052071. The next prime is 13305155052107. The reversal of 13305155052072 is 27025055150331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 13305155052072.

It is not an unprimeable number, because it can be changed into a prime (13305155052071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10879572 + ... + 12040572.

It is an arithmetic number, because the mean of its divisors is an integer number (292206788370).

Almost surely, 2^{13305155052072} is an apocalyptic number.

13305155052072 is a gapful number since it is divisible by the number (12) 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 13305155052072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701234455680).

13305155052072 is an abundant number, since it is smaller than the sum of its proper divisors (24097313859288).

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

13305155052072 is a wasteful number, since it uses less digits than its factorization.

13305155052072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162643 (or 1162639 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 39.

The spelling of 13305155052072 in words is "thirteen trillion, three hundred five billion, one hundred fifty-five million, fifty-two thousand, seventy-two".