123011320013221 has 2 divisors, whose sum is σ = 123011320013222. Its totient is φ = 123011320013220.

The previous prime is 123011320013207. The next prime is 123011320013287. The reversal of 123011320013221 is 122310023110321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118616364160996 + 4394955852225 = 10891114^2 + 2096415^2 .

It is an emirp because it is prime and its reverse (122310023110321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123011320013221 - 2⁷ = 123011320013093 is a prime.

It is a super-3 number, since 3×123011320013221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 123011320013192 and 123011320013201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123011320013201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61505660006610 + 61505660006611.

It is an arithmetic number, because the mean of its divisors is an integer number (61505660006611).

Almost surely, 2^{123011320013221} is an apocalyptic number.

It is an amenable number.

123011320013221 is a deficient number, since it is larger than the sum of its proper divisors (1).

123011320013221 is an equidigital number, since it uses as much as digits as its factorization.

123011320013221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 123011320013221 its reverse (122310023110321), we get a palindrome (245321343123542).

The spelling of 123011320013221 in words is "one hundred twenty-three trillion, eleven billion, three hundred twenty million, thirteen thousand, two hundred twenty-one".