123313102121 has 16 divisors (see below), whose sum is σ = 136674388800. Its totient is φ = 110317259520.

The previous prime is 123313102019. The next prime is 123313102139. The reversal of 123313102121 is 121201313321.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123313102121 is a prime.

It is a super-2 number, since 2×123313102121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123313102093 and 123313102102.

It is not an unprimeable number, because it can be changed into a prime (123313702121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182405 + ... + 529053.

It is an arithmetic number, because the mean of its divisors is an integer number (8542149300).

Almost surely, 2^123313102121 is an apocalyptic number.

123313102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123313102121 is a deficient number, since it is larger than the sum of its proper divisors (13361286679).

123313102121 is a wasteful number, since it uses less digits than its factorization.

123313102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347176.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123313102121 its reverse (121201313321), we get a palindrome (244514415442).

The spelling of 123313102121 in words is "one hundred twenty-three billion, three hundred thirteen million, one hundred two thousand, one hundred twenty-one".