123121414040313 has 128 divisors (see below), whose sum is σ = 183242447023104. Its totient is φ = 73066807296000.

The previous prime is 123121414040257. The next prime is 123121414040321. The reversal of 123121414040313 is 313040414121321.

It is not a de Polignac number, because 123121414040313 - 2¹⁰ = 123121414039289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123121414040353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44336121781 + ... + 44336124557.

It is an arithmetic number, because the mean of its divisors is an integer number (1431581617368).

Almost surely, 2^{123121414040313} is an apocalyptic number.

123121414040313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123121414040313 is a deficient number, since it is larger than the sum of its proper divisors (60121032982791).

123121414040313 is a wasteful number, since it uses less digits than its factorization.

123121414040313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 123121414040313 its reverse (313040414121321), we get a palindrome (436161828161634).

The spelling of 123121414040313 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, four hundred fourteen million, forty thousand, three hundred thirteen".