122105313 has 28 divisors (see below), whose sum is σ = 199730448. Its totient is φ = 73998360.

The previous prime is 122105299. The next prime is 122105327. The reversal of 122105313 is 313501221.

122105313 is a `hidden beast` number, since 122 + 10 + 531 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (122105299) and next prime (122105327).

It is a de Polignac number, because none of the positive numbers 2^k-122105313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122105353) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 406 + ... + 15632.

Almost surely, 2^122105313 is an apocalyptic number.

It is an amenable number.

122105313 is a deficient number, since it is larger than the sum of its proper divisors (77625135).

122105313 is an equidigital number, since it uses as much as digits as its factorization.

122105313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15256 (or 15241 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 122105313 is about 11050.1272843348. The cubic root of 122105313 is about 496.1102352649.

Adding to 122105313 its reverse (313501221), we get a palindrome (435606534).

The spelling of 122105313 in words is "one hundred twenty-two million, one hundred five thousand, three hundred thirteen".