13305117 has 12 divisors (see below), whose sum is σ = 20636736. Its totient is φ = 7602840.

The previous prime is 13305091. The next prime is 13305119. The reversal of 13305117 is 71150331.

It is not a de Polignac number, because 13305117 - 2⁷ = 13304989 is a prime.

It is a super-2 number, since 2×13305117² = 354052276767378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13305093 and 13305102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305119) 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, 45109 + ... + 45402.

It is an arithmetic number, because the mean of its divisors is an integer number (1719728).

Almost surely, 2^13305117 is an apocalyptic number.

It is an amenable number.

13305117 is a deficient number, since it is larger than the sum of its proper divisors (7331619).

13305117 is an equidigital number, since it uses as much as digits as its factorization.

13305117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90528 (or 90521 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 13305117 is about 3647.6179898668. The cubic root of 13305117 is about 236.9588313543.

Adding to 13305117 its reverse (71150331), we get a palindrome (84455448).

The spelling of 13305117 in words is "thirteen million, three hundred five thousand, one hundred seventeen".