13038120 has 48 divisors (see below), whose sum is σ = 42375060. Its totient is φ = 3476736.

The previous prime is 13038107. The next prime is 13038121. The reversal of 13038120 is 2183031.

It can be written as a sum of positive squares in 2 ways, for example, as 11985444 + 1052676 = 3462^2 + 1026^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13038093 and 13038102.

It is not an unprimeable number, because it can be changed into a prime (13038121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17749 + ... + 18468.

Almost surely, 2^13038120 is an apocalyptic number.

13038120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13038120 is an abundant number, since it is smaller than the sum of its proper divisors (29336940).

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

13038120 is a wasteful number, since it uses less digits than its factorization.

13038120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36234 (or 36227 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13038120 is about 3610.8336987460. The cubic root of 13038120 is about 235.3630723884.

The spelling of 13038120 in words is "thirteen million, thirty-eight thousand, one hundred twenty".