123232123233313 has 32 divisors (see below), whose sum is σ = 132717856471200. Its totient is φ = 114014216601600.

The previous prime is 123232123233299. The next prime is 123232123233397. The reversal of 123232123233313 is 313332321232321.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2990108431249 + 120242014802064 = 1729193^2 + 10965492^2 .

It is a cyclic number.

It is not a de Polignac number, because 123232123233313 - 2³³ = 123223533298721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123232123233913) 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 31 ways as a sum of consecutive naturals, for example, 139179981 + ... + 140062597.

It is an arithmetic number, because the mean of its divisors is an integer number (4147433014725).

Almost surely, 2^{123232123233313} is an apocalyptic number.

It is an amenable number.

123232123233313 is a deficient number, since it is larger than the sum of its proper divisors (9485733237887).

123232123233313 is a wasteful number, since it uses less digits than its factorization.

123232123233313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883317.

The product of its digits is 69984, while the sum is 34.

Adding to 123232123233313 its reverse (313332321232321), we get a palindrome (436564444465634).

The spelling of 123232123233313 in words is "one hundred twenty-three trillion, two hundred thirty-two billion, one hundred twenty-three million, two hundred thirty-three thousand, three hundred thirteen".