23305403313 has 12 divisors (see below), whose sum is σ = 34824166260. Its totient is φ = 15001178976.

The previous prime is 23305403299. The next prime is 23305403333. The reversal of 23305403313 is 31330450332.

It is a happy number.

23305403313 is a `hidden beast` number, since 2 + 3 + 305 + 40 + 3 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4241526129 + 19063877184 = 65127^2 + 138072^2 .

It is not a de Polignac number, because 23305403313 - 2⁸ = 23305403057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23305403333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44646106 + ... + 44646627.

It is an arithmetic number, because the mean of its divisors is an integer number (2902013855).

Almost surely, 2^23305403313 is an apocalyptic number.

It is an amenable number.

23305403313 is a deficient number, since it is larger than the sum of its proper divisors (11518762947).

23305403313 is a wasteful number, since it uses less digits than its factorization.

23305403313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89292768 (or 89292765 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 23305403313 its reverse (31330450332), we get a palindrome (54635853645).

The spelling of 23305403313 in words is "twenty-three billion, three hundred five million, four hundred three thousand, three hundred thirteen".