13305304337 has 8 divisors (see below), whose sum is σ = 15171659496. Its totient is φ = 11559359232.

The previous prime is 13305304301. The next prime is 13305304343. The reversal of 13305304337 is 73340350331.

It can be written as a sum of positive squares in 4 ways, for example, as 5928384016 + 7376920321 = 76996^2 + 85889^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13305304337 - 2²⁰ = 13304255761 is a prime.

It is a super-2 number, since 2×13305304337² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13305304367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30102278 + ... + 30102719.

It is an arithmetic number, because the mean of its divisors is an integer number (1896457437).

Almost surely, 2^13305304337 is an apocalyptic number.

13305304337 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13305304337 is a deficient number, since it is larger than the sum of its proper divisors (1866355159).

13305304337 is a wasteful number, since it uses less digits than its factorization.

13305304337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60205027.

The product of its (nonzero) digits is 34020, while the sum is 32.

Adding to 13305304337 its reverse (73340350331), we get a palindrome (86645654668).

The spelling of 13305304337 in words is "thirteen billion, three hundred five million, three hundred four thousand, three hundred thirty-seven".