13345220 has 96 divisors (see below), whose sum is σ = 35078400. Its totient is φ = 4161024.

The previous prime is 13345217. The next prime is 13345223. The reversal of 13345220 is 2254331.

It is a happy number.

13345220 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (13345217) and next prime (13345223).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13345192 and 13345201.

It is not an unprimeable number, because it can be changed into a prime (13345223) 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 31 ways as a sum of consecutive naturals, for example, 77054 + ... + 77226.

It is an arithmetic number, because the mean of its divisors is an integer number (365400).

Almost surely, 2^13345220 is an apocalyptic number.

13345220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13345220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539200).

13345220 is an abundant number, since it is smaller than the sum of its proper divisors (21733180).

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

13345220 is a wasteful number, since it uses less digits than its factorization.

13345220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 13345220 is about 3653.1110029672. Note that the first 3 decimals coincide. The cubic root of 13345220 is about 237.1966653780.

Adding to 13345220 its reverse (2254331), we get a palindrome (15599551).

The spelling of 13345220 in words is "thirteen million, three hundred forty-five thousand, two hundred twenty".