123563121365321 has 12 divisors (see below), whose sum is σ = 135847383855876. Its totient is φ = 112305241535520.

The previous prime is 123563121365293. The next prime is 123563121365351.

123563121365321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 13566256897600 + 109996864467721 = 3683240^2 + 10487939^2 .

It is not a de Polignac number, because 123563121365321 - 2¹⁰ = 123563121364297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123563121365351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112491170 + ... + 113584283.

It is an arithmetic number, because the mean of its divisors is an integer number (11320615321323).

Almost surely, 2^{123563121365321} is an apocalyptic number.

123563121365321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123563121365321 is a deficient number, since it is larger than the sum of its proper divisors (12284262490555).

123563121365321 is a wasteful number, since it uses less digits than its factorization.

123563121365321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226079992 (or 226079981 counting only the distinct ones).

The product of its digits is 583200, while the sum is 44.

The spelling of 123563121365321 in words is "one hundred twenty-three trillion, five hundred sixty-three billion, one hundred twenty-one million, three hundred sixty-five thousand, three hundred twenty-one".