13075309348920 has 768 divisors, whose sum is σ = 55025110183680. Its totient is φ = 2618707968000.

The previous prime is 13075309348903. The next prime is 13075309348949. The reversal of 13075309348920 is 2984390357031.

13075309348920 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 53 + 0 + 93 + 489 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49565370 + ... + 49828470.

It is an arithmetic number, because the mean of its divisors is an integer number (71647278885).

Almost surely, 2^{13075309348920} is an apocalyptic number.

13075309348920 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 13075309348920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27512555091840).

13075309348920 is an abundant number, since it is smaller than the sum of its proper divisors (41949800834760).

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

13075309348920 is a wasteful number, since it uses less digits than its factorization.

13075309348920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263216 (or 263209 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13075309348920 in words is "thirteen trillion, seventy-five billion, three hundred nine million, three hundred forty-eight thousand, nine hundred twenty".