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BaseRepresentation
bin11001101000000
3122222221
43031000
5404440
6140424
753152
oct31500
918887
1013120
119948
127714
135c83
153d4a
hex3340

13120 has 28 divisors (see below), whose sum is σ = 32004. Its totient is φ = 5120.

The previous prime is 13109. The next prime is 13121. The reversal of 13120 is 2131.

13120 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 2304 + 10816 = 48^2 + 104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121) by changing a digit.

13120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (1143).

213120 is an apocalyptic number.

13120 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 13120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16002).

13120 is an abundant number, since it is smaller than the sum of its proper divisors (18884).

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

13120 is an equidigital number, since it uses as much as digits as its factorization.

13120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 13120 is about 114.5425685062. The cubic root of 13120 is about 23.5854741599.

Adding to 13120 its reverse (2131), we get a palindrome (15251).

It can be divided in two parts, 131 and 20, that added together give a palindrome (151).

The spelling of 13120 in words is "thirteen thousand, one hundred twenty".