123313313321 has 16 divisors (see below), whose sum is σ = 143461523520. Its totient is φ = 104749639680.

The previous prime is 123313313281. The next prime is 123313313323.

123313313321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123313313321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123313313323) 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 15 ways as a sum of consecutive naturals, for example, 2346056 + ... + 2398041.

It is an arithmetic number, because the mean of its divisors is an integer number (8966345220).

Almost surely, 2^123313313321 is an apocalyptic number.

123313313321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123313313321 is a deficient number, since it is larger than the sum of its proper divisors (20148210199).

123313313321 is a wasteful number, since it uses less digits than its factorization.

123313313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744264.

The product of its digits is 2916, while the sum is 26.

It can be divided in two parts, 123313 and 313321, that added together give a palindrome (436634).

The spelling of 123313313321 in words is "one hundred twenty-three billion, three hundred thirteen million, three hundred thirteen thousand, three hundred twenty-one".