13513220 has 36 divisors (see below), whose sum is σ = 33013260. Its totient is φ = 4632768.

The previous prime is 13513153. The next prime is 13513243. The reversal of 13513220 is 2231531.

13513220 = T₂₆₉ + T₂₇₀ + ... + T₄₆₄.

It can be written as a sum of positive squares in 2 ways, for example, as 9834496 + 3678724 = 3136^2 + 1918^2 .

It is a super-2 number, since 2×13513220² = 365214229536800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5915 + ... + 7874.

It is an arithmetic number, because the mean of its divisors is an integer number (917035).

Almost surely, 2^13513220 is an apocalyptic number.

13513220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13513220 is an abundant number, since it is smaller than the sum of its proper divisors (19500040).

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

13513220 is a wasteful number, since it uses less digits than its factorization.

13513220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13812 (or 13803 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13513220 is about 3676.0331880983. The cubic root of 13513220 is about 238.1878562973.

Adding to 13513220 its reverse (2231531), we get a palindrome (15744751).

The spelling of 13513220 in words is "thirteen million, five hundred thirteen thousand, two hundred twenty".