13281000 has 128 divisors (see below), whose sum is σ = 43804800. Its totient is φ = 3340800.

The previous prime is 13280987. The next prime is 13281001. The reversal of 13281000 is 18231.

It is a happy number.

13281000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13281000² = 352769922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13281001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56884 + ... + 57116.

It is an arithmetic number, because the mean of its divisors is an integer number (342225).

Almost surely, 2^13281000 is an apocalyptic number.

13281000 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 13281000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902400).

13281000 is an abundant number, since it is smaller than the sum of its proper divisors (30523800).

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

13281000 is a wasteful number, since it uses less digits than its factorization.

13281000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 13281000 is about 3644.3106343999. The cubic root of 13281000 is about 236.8155733762.

Adding to 13281000 its reverse (18231), we get a palindrome (13299231).

The spelling of 13281000 in words is "thirteen million, two hundred eighty-one thousand".