13141567120 has 320 divisors, whose sum is σ = 37334753280. Its totient is φ = 4244889600.

The previous prime is 13141567111. The next prime is 13141567133. The reversal of 13141567120 is 2176514131.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19941351 + ... + 19942009.

It is an arithmetic number, because the mean of its divisors is an integer number (116671104).

Almost surely, 2^13141567120 is an apocalyptic number.

13141567120 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 13141567120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667376640).

13141567120 is an abundant number, since it is smaller than the sum of its proper divisors (24193186160).

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

13141567120 is a wasteful number, since it uses less digits than its factorization.

13141567120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 13141567120 in words is "thirteen billion, one hundred forty-one million, five hundred sixty-seven thousand, one hundred twenty".