13300441 has 24 divisors (see below), whose sum is σ = 17160192. Its totient is φ = 10084800.

The previous prime is 13300367. The next prime is 13300471. The reversal of 13300441 is 14400331.

13300441 = 214² + 215² + ... + 367².

It is not a de Polignac number, because 13300441 - 2¹⁵ = 13267673 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34536 + ... + 34918.

It is an arithmetic number, because the mean of its divisors is an integer number (715008).

Almost surely, 2^13300441 is an apocalyptic number.

13300441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13300441 is a deficient number, since it is larger than the sum of its proper divisors (3859751).

13300441 is a wasteful number, since it uses less digits than its factorization.

13300441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13300441 is about 3646.9769672977. The cubic root of 13300441 is about 236.9310688696.

Adding to 13300441 its reverse (14400331), we get a palindrome (27700772).

The spelling of 13300441 in words is "thirteen million, three hundred thousand, four hundred forty-one".