13220361 has 32 divisors (see below), whose sum is σ = 24422400. Its totient is φ = 6866640.

The previous prime is 13220357. The next prime is 13220369. The reversal of 13220361 is 16302231.

It is not a de Polignac number, because 13220361 - 2² = 13220357 is a prime.

It is a super-3 number, since 3×13220361³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13220369) 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, 1101 + ... + 5258.

It is an arithmetic number, because the mean of its divisors is an integer number (763200).

Almost surely, 2^13220361 is an apocalyptic number.

13220361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13220361 is a deficient number, since it is larger than the sum of its proper divisors (11202039).

13220361 is a wasteful number, since it uses less digits than its factorization.

13220361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13220361 is about 3635.9814355962. The cubic root of 13220361 is about 236.4546022962.

Adding to 13220361 its reverse (16302231), we get a palindrome (29522592).

The spelling of 13220361 in words is "thirteen million, two hundred twenty thousand, three hundred sixty-one".