122321404352313 has 10 divisors (see below), whose sum is σ = 182727036131354. Its totient is φ = 81547602901488.

The previous prime is 122321404352249. The next prime is 122321404352317. The reversal of 122321404352313 is 313253404123221.

122321404352313 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 214 + 0 + 435 + 2 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110092304430144 + 12229099922169 = 10492488^2 + 3497013^2 .

It is not a de Polignac number, because 122321404352313 - 2⁶ = 122321404352249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122321404352317) 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, 755070397156 + ... + 755070397317.

Almost surely, 2^{122321404352313} is an apocalyptic number.

It is an amenable number.

122321404352313 is a deficient number, since it is larger than the sum of its proper divisors (60405631779041).

122321404352313 is an equidigital number, since it uses as much as digits as its factorization.

122321404352313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510140794485 (or 1510140794476 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 122321404352313 its reverse (313253404123221), we get a palindrome (435574808475534).

The spelling of 122321404352313 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, four hundred four million, three hundred fifty-two thousand, three hundred thirteen".