10012120313 has 16 divisors (see below), whose sum is σ = 11198455296. Its totient is φ = 8888901120.

The previous prime is 10012120273. The next prime is 10012120331. The reversal of 10012120313 is 31302121001.

10012120313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10012120313 - 2¹² = 10012116217 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 (10012120373) 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, 10520 + ... + 141897.

It is an arithmetic number, because the mean of its divisors is an integer number (699903456).

Almost surely, 2^10012120313 is an apocalyptic number.

10012120313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10012120313 is a deficient number, since it is larger than the sum of its proper divisors (1186334983).

10012120313 is a wasteful number, since it uses less digits than its factorization.

10012120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152624.

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

Adding to 10012120313 its reverse (31302121001), we get a palindrome (41314241314).

The spelling of 10012120313 in words is "ten billion, twelve million, one hundred twenty thousand, three hundred thirteen".