13123305 has 24 divisors (see below), whose sum is σ = 24497928. Its totient is φ = 6460416.

The previous prime is 13123301. The next prime is 13123307. The reversal of 13123305 is 50332131.

13123305 = 251² + 252² + ... + 380².

It can be written as a sum of positive squares in 4 ways, for example, as 1671849 + 11451456 = 1293^2 + 3384^2 .

It is not a de Polignac number, because 13123305 - 2² = 13123301 is a prime.

It is a super-2 number, since 2×13123305² = 344442268246050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13123301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10632 + ... + 11801.

It is an arithmetic number, because the mean of its divisors is an integer number (1020747).

Almost surely, 2^13123305 is an apocalyptic number.

13123305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13123305 is a deficient number, since it is larger than the sum of its proper divisors (11374623).

13123305 is a wasteful number, since it uses less digits than its factorization.

13123305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22457 (or 22454 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13123305 is about 3622.6102467696. The cubic root of 13123305 is about 235.8745443040.

Adding to 13123305 its reverse (50332131), we get a palindrome (63455436).

It can be divided in two parts, 131 and 23305, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 13123305 in words is "thirteen million, one hundred twenty-three thousand, three hundred five".