13513320 has 48 divisors (see below), whose sum is σ = 43919460. Its totient is φ = 3603456.

The previous prime is 13513319. The next prime is 13513321. The reversal of 13513320 is 2331531.

It is an interprime number because it is at equal distance from previous prime (13513319) and next prime (13513321).

It can be written as a sum of positive squares in 2 ways, for example, as 13351716 + 161604 = 3654^2 + 402^2 .

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 = 13513293 and 13513302.

It is not an unprimeable number, because it can be changed into a prime (13513321) 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, 18409 + ... + 19128.

Almost surely, 2^13513320 is an apocalyptic number.

13513320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13513320 is an abundant number, since it is smaller than the sum of its proper divisors (30406140).

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

13513320 is a wasteful number, since it uses less digits than its factorization.

13513320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37554 (or 37547 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13513320 is about 3676.0467896913. The cubic root of 13513320 is about 238.1884438387.

Adding to 13513320 its reverse (2331531), we get a palindrome (15844851).

The spelling of 13513320 in words is "thirteen million, five hundred thirteen thousand, three hundred twenty".