312011010013 has 2 divisors, whose sum is σ = 312011010014. Its totient is φ = 312011010012.

The previous prime is 312011010011. The next prime is 312011010041. The reversal of 312011010013 is 310010110213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 240293098809 + 71717911204 = 490197^2 + 267802^2 .

It is a cyclic number.

It is not a de Polignac number, because 312011010013 - 2¹ = 312011010011 is a prime.

Together with 312011010011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 312011009975 and 312011010002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312011010011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156005505006 + 156005505007.

It is an arithmetic number, because the mean of its divisors is an integer number (156005505007).

Almost surely, 2^312011010013 is an apocalyptic number.

It is an amenable number.

312011010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312011010013 is an equidigital number, since it uses as much as digits as its factorization.

312011010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 312011010013 its reverse (310010110213), we get a palindrome (622021120226).

The spelling of 312011010013 in words is "three hundred twelve billion, eleven million, ten thousand, thirteen".