123330200013 has 12 divisors (see below), whose sum is σ = 182958315228. Its totient is φ = 79997967360.

The previous prime is 123330199997. The next prime is 123330200047. The reversal of 123330200013 is 310002033321.

123330200013 is a `hidden beast` number, since 123 + 330 + 200 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68193055044 + 55137144969 = 261138^2 + 234813^2 .

It is not a de Polignac number, because 123330200013 - 2⁴ = 123330199997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123330200093) 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, 185180148 + ... + 185180813.

It is an arithmetic number, because the mean of its divisors is an integer number (15246526269).

Almost surely, 2^123330200013 is an apocalyptic number.

It is an amenable number.

123330200013 is a deficient number, since it is larger than the sum of its proper divisors (59628115215).

123330200013 is a wasteful number, since it uses less digits than its factorization.

123330200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370361004 (or 370361001 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 123330200013 its reverse (310002033321), we get a palindrome (433332233334).

The spelling of 123330200013 in words is "one hundred twenty-three billion, three hundred thirty million, two hundred thousand, thirteen".