10012313012013 has 12 divisors (see below), whose sum is σ = 15574709129980. Its totient is φ = 6161423391936.

The previous prime is 10012313011933. The next prime is 10012313012021. The reversal of 10012313012013 is 31021031321001.

10012313012013 is a `hidden beast` number, since 100 + 1 + 231 + 301 + 20 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5987623029444 + 4024689982569 = 2446962^2 + 2006163^2 .

It is not a de Polignac number, because 10012313012013 - 2³⁴ = 9995133142829 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012313010013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42787662328 + ... + 42787662561.

Almost surely, 2^{10012313012013} is an apocalyptic number.

10012313012013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10012313012013 is a deficient number, since it is larger than the sum of its proper divisors (5562396117967).

10012313012013 is a wasteful number, since it uses less digits than its factorization.

10012313012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85575324908 (or 85575324905 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10012313012013 its reverse (31021031321001), we get a palindrome (41033344333014).

The spelling of 10012313012013 in words is "ten trillion, twelve billion, three hundred thirteen million, twelve thousand, thirteen".