13141280 has 48 divisors (see below), whose sum is σ = 32405184. Its totient is φ = 5026560.

The previous prime is 13141267. The next prime is 13141283. The reversal of 13141280 is 8214131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13141283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1895 + ... + 5465.

It is an arithmetic number, because the mean of its divisors is an integer number (675108).

Almost surely, 2^13141280 is an apocalyptic number.

13141280 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 13141280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16202592).

13141280 is an abundant number, since it is smaller than the sum of its proper divisors (19263904).

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

13141280 is a wasteful number, since it uses less digits than its factorization.

13141280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 13141280 is about 3625.0903437018. The cubic root of 13141280 is about 235.9821876818.

The spelling of 13141280 in words is "thirteen million, one hundred forty-one thousand, two hundred eighty".