12121003013 has 48 divisors (see below), whose sum is σ = 15584993280. Its totient is φ = 9191441952.

The previous prime is 12121002997. The next prime is 12121003039. The reversal of 12121003013 is 31030012121.

12121003013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12121003013 - 2⁴ = 12121002997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121003073) 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 47 ways as a sum of consecutive naturals, for example, 5655020 + ... + 5657162.

It is an arithmetic number, because the mean of its divisors is an integer number (324687360).

Almost surely, 2^12121003013 is an apocalyptic number.

It is an amenable number.

12121003013 is a deficient number, since it is larger than the sum of its proper divisors (3463990267).

12121003013 is a wasteful number, since it uses less digits than its factorization.

12121003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2235 counting only the distinct ones).

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

Adding to 12121003013 its reverse (31030012121), we get a palindrome (43151015134).

The spelling of 12121003013 in words is "twelve billion, one hundred twenty-one million, three thousand, thirteen".