123223103310213 has 10 divisors (see below), whose sum is σ = 184074018525254. Its totient is φ = 82148735540088.

The previous prime is 123223103310169. The next prime is 123223103310227. The reversal of 123223103310213 is 312013301322321.

123223103310213 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 2 + 310 + 331 + 0 + 2 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86974238696004 + 36248864614209 = 9325998^2 + 6020703^2 .

It is not a de Polignac number, because 123223103310213 - 2¹³ = 123223103302021 is a prime.

It is a super-3 number, since 3×123223103310213³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123223103310283) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 760636440106 + ... + 760636440267.

Almost surely, 2^{123223103310213} is an apocalyptic number.

It is an amenable number.

123223103310213 is a deficient number, since it is larger than the sum of its proper divisors (60850915215041).

123223103310213 is an equidigital number, since it uses as much as digits as its factorization.

123223103310213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521272880385 (or 1521272880376 counting only the distinct ones).

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

Adding to 123223103310213 its reverse (312013301322321), we get a palindrome (435236404632534).

The spelling of 123223103310213 in words is "one hundred twenty-three trillion, two hundred twenty-three billion, one hundred three million, three hundred ten thousand, two hundred thirteen".