12121123313 has 16 divisors (see below), whose sum is σ = 13129615296. Its totient is φ = 11123647680.

The previous prime is 12121123307. The next prime is 12121123331. The reversal of 12121123313 is 31332112121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12121123313 - 2²⁰ = 12120074737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12121123393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2420270 + ... + 2425272.

It is an arithmetic number, because the mean of its divisors is an integer number (820600956).

Almost surely, 2^12121123313 is an apocalyptic number.

12121123313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12121123313 is a deficient number, since it is larger than the sum of its proper divisors (1008491983).

12121123313 is a wasteful number, since it uses less digits than its factorization.

12121123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064.

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

Adding to 12121123313 its reverse (31332112121), we get a palindrome (43453235434).

The spelling of 12121123313 in words is "twelve billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred thirteen".