10001323305 has 24 divisors (see below), whose sum is σ = 17348360328. Its totient is φ = 5330121216.

The previous prime is 10001323253. The next prime is 10001323307. The reversal of 10001323305 is 50332310001.

It can be written as a sum of positive squares in 4 ways, for example, as 1779911721 + 8221411584 = 42189^2 + 90672^2 .

It is not a de Polignac number, because 10001323305 - 2⁸ = 10001323049 is a prime.

It is a super-2 number, since 2×10001323305² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001323307) 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 23 ways as a sum of consecutive naturals, for example, 19152 + ... + 142721.

It is an arithmetic number, because the mean of its divisors is an integer number (722848347).

Almost surely, 2^10001323305 is an apocalyptic number.

10001323305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10001323305 is a deficient number, since it is larger than the sum of its proper divisors (7347037023).

10001323305 is a wasteful number, since it uses less digits than its factorization.

10001323305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163257 (or 163254 counting only the distinct ones).

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

Adding to 10001323305 its reverse (50332310001), we get a palindrome (60333633306).

It can be divided in two parts, 10001323 and 305, that added together give a triangular number (10001628 = T₄₄₇₂).

The spelling of 10001323305 in words is "ten billion, one million, three hundred twenty-three thousand, three hundred five".