122313110541345 has 48 divisors (see below), whose sum is σ = 231433254037440. Its totient is φ = 61800308472384.

The previous prime is 122313110541343. The next prime is 122313110541379. The reversal of 122313110541345 is 543145011313221.

122313110541345 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 131 + 105 + 413 + 4 + 5 = 666.

It is not a de Polignac number, because 122313110541345 - 2¹ = 122313110541343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122313110541343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2649167094 + ... + 2649213263.

It is an arithmetic number, because the mean of its divisors is an integer number (4821526125780).

Almost surely, 2^{122313110541345} is an apocalyptic number.

122313110541345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122313110541345 is a deficient number, since it is larger than the sum of its proper divisors (109120143496095).

122313110541345 is an equidigital number, since it uses as much as digits as its factorization.

122313110541345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298380396 (or 5298380384 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 122313110541345 its reverse (543145011313221), we get a palindrome (665458121854566).

The spelling of 122313110541345 in words is "one hundred twenty-two trillion, three hundred thirteen billion, one hundred ten million, five hundred forty-one thousand, three hundred forty-five".