123334313305 has 16 divisors (see below), whose sum is σ = 169208861184. Its totient is φ = 84539770560.

The previous prime is 123334313287. The next prime is 123334313309. The reversal of 123334313305 is 503313433321.

It is not a de Polignac number, because 123334313305 - 2⁵ = 123334313273 is a prime.

It is a super-2 number, since 2×123334313305² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123334313309) 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, 580497 + ... + 763966.

It is an arithmetic number, because the mean of its divisors is an integer number (10575553824).

Almost surely, 2^123334313305 is an apocalyptic number.

It is an amenable number.

123334313305 is a deficient number, since it is larger than the sum of its proper divisors (45874547879).

123334313305 is a wasteful number, since it uses less digits than its factorization.

123334313305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347096.

The product of its (nonzero) digits is 29160, while the sum is 31.

Adding to 123334313305 its reverse (503313433321), we get a palindrome (626647746626).

The spelling of 123334313305 in words is "one hundred twenty-three billion, three hundred thirty-four million, three hundred thirteen thousand, three hundred five".