13003120 has 40 divisors (see below), whose sum is σ = 32560416. Its totient is φ = 4800768.

The previous prime is 13003099. The next prime is 13003127. The reversal of 13003120 is 2130031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13003120² = 338162259468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 13003097 and 13003106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003127) 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 7 ways as a sum of consecutive naturals, for example, 5212 + ... + 7291.

Almost surely, 2^13003120 is an apocalyptic number.

13003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13003120 is an abundant number, since it is smaller than the sum of its proper divisors (19557296).

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

13003120 is a wasteful number, since it uses less digits than its factorization.

13003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12529 (or 12523 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13003120 is about 3605.9839156602. The cubic root of 13003120 is about 235.1522779449.

Adding to 13003120 its reverse (2130031), we get a palindrome (15133151).

The spelling of 13003120 in words is "thirteen million, three thousand, one hundred twenty".