122110313 has 8 divisors (see below), whose sum is σ = 132806856. Its totient is φ = 111600000.

The previous prime is 122110301. The next prime is 122110327. The reversal of 122110313 is 313011221.

It can be written as a sum of positive squares in 4 ways, for example, as 48888064 + 73222249 = 6992^2 + 8557^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122110313 - 2⁸ = 122110057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122110363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45188 + ... + 47813.

It is an arithmetic number, because the mean of its divisors is an integer number (16600857).

Almost surely, 2^122110313 is an apocalyptic number.

122110313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122110313 is a deficient number, since it is larger than the sum of its proper divisors (10696543).

122110313 is a wasteful number, since it uses less digits than its factorization.

122110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93115.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 122110313 is about 11050.3535237566. The cubic root of 122110313 is about 496.1170067893.

Adding to 122110313 its reverse (313011221), we get a palindrome (435121534).

The spelling of 122110313 in words is "one hundred twenty-two million, one hundred ten thousand, three hundred thirteen".