123233032013 has 72 divisors (see below), whose sum is σ = 161594281800. Its totient is φ = 93038948352.

The previous prime is 123233032003. The next prime is 123233032033. The reversal of 123233032013 is 310230332321.

It can be written as a sum of positive squares in 12 ways, for example, as 67422276964 + 55810755049 = 259658^2 + 236243^2 .

It is not a de Polignac number, because 123233032013 - 2¹⁶ = 123232966477 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123233032013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123233032003) 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 71 ways as a sum of consecutive naturals, for example, 173812103 + ... + 173812811.

It is an arithmetic number, because the mean of its divisors is an integer number (2244365025).

Almost surely, 2^123233032013 is an apocalyptic number.

123233032013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123233032013 is a deficient number, since it is larger than the sum of its proper divisors (38361249787).

123233032013 is an equidigital number, since it uses as much as digits as its factorization.

123233032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 123233032013 its reverse (310230332321), we get a palindrome (433463364334).

The spelling of 123233032013 in words is "one hundred twenty-three billion, two hundred thirty-three million, thirty-two thousand, thirteen".