13013120 has 32 divisors (see below), whose sum is σ = 31111020. Its totient is φ = 5204992.

The previous prime is 13013071. The next prime is 13013129. The reversal of 13013120 is 2131031.

It can be written as a sum of positive squares in 2 ways, for example, as 12334144 + 678976 = 3512^2 + 824^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (13013129) 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 3 ways as a sum of consecutive naturals, for example, 9527 + ... + 10806.

Almost surely, 2^13013120 is an apocalyptic number.

13013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013120 is an abundant number, since it is smaller than the sum of its proper divisors (18097900).

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

13013120 is an equidigital number, since it uses as much as digits as its factorization.

13013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20352 (or 20340 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 13013120 is about 3607.3702332863. The cubic root of 13013120 is about 235.2125434870.

Adding to 13013120 its reverse (2131031), we get a palindrome (15144151).

The spelling of 13013120 in words is "thirteen million, thirteen thousand, one hundred twenty".