123121002323313 has 48 divisors (see below), whose sum is σ = 178997850071040. Its totient is φ = 81547861449600.

The previous prime is 123121002323261. The next prime is 123121002323381. The reversal of 123121002323313 is 313323200121321.

123121002323313 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 21 + 0 + 0 + 2 + 323 + 313 = 666.

It is not a de Polignac number, because 123121002323313 - 2¹³ = 123121002315121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123121003323313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12649846395 + ... + 12649856127.

It is an arithmetic number, because the mean of its divisors is an integer number (3729121876480).

Almost surely, 2^{123121002323313} is an apocalyptic number.

It is an amenable number.

123121002323313 is a deficient number, since it is larger than the sum of its proper divisors (55876847747727).

123121002323313 is a wasteful number, since it uses less digits than its factorization.

123121002323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16670 (or 16667 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123121002323313 its reverse (313323200121321), we get a palindrome (436444202444634).

The spelling of 123121002323313 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, two million, three hundred twenty-three thousand, three hundred thirteen".