123000312005013 has 16 divisors (see below), whose sum is σ = 166088403476480. Its totient is φ = 80956364679216.

The previous prime is 123000312005003. The next prime is 123000312005033. The reversal of 123000312005013 is 310500213000321.

It is not a de Polignac number, because 123000312005013 - 2²¹ = 123000309907861 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123000312005003) 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 15 ways as a sum of consecutive naturals, for example, 15522145 + ... + 22066662.

It is an arithmetic number, because the mean of its divisors is an integer number (10380525217280).

Almost surely, 2^{123000312005013} is an apocalyptic number.

It is an amenable number.

123000312005013 is a deficient number, since it is larger than the sum of its proper divisors (43088091471467).

123000312005013 is a wasteful number, since it uses less digits than its factorization.

123000312005013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37602696.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 123000312005013 its reverse (310500213000321), we get a palindrome (433500525005334).

The spelling of 123000312005013 in words is "one hundred twenty-three trillion, three hundred twelve million, five thousand, thirteen".