122313221334351 has 12 divisors (see below), whose sum is σ = 176969602383600. Its totient is φ = 81406017089280.

The previous prime is 122313221334313. The next prime is 122313221334401. The reversal of 122313221334351 is 153433122313221.

122313221334351 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 3 + 2 + 213 + 3 + 435 + 1 = 666.

It is not a de Polignac number, because 122313221334351 - 2⁹ = 122313221333839 is a prime.

It is a super-3 number, since 3×122313221334351³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313221334151) 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, 11344199890 + ... + 11344210671.

It is an arithmetic number, because the mean of its divisors is an integer number (14747466865300).

Almost surely, 2^{122313221334351} is an apocalyptic number.

122313221334351 is a deficient number, since it is larger than the sum of its proper divisors (54656381049249).

122313221334351 is a wasteful number, since it uses less digits than its factorization.

122313221334351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22688411166 (or 22688411163 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 122313221334351 its reverse (153433122313221), we get a palindrome (275746343647572).

The spelling of 122313221334351 in words is "one hundred twenty-two trillion, three hundred thirteen billion, two hundred twenty-one million, three hundred thirty-four thousand, three hundred fifty-one".