312100013 has 2 divisors, whose sum is σ = 312100014. Its totient is φ = 312100012.

The previous prime is 312099961. The next prime is 312100031. The reversal of 312100013 is 310001213.

Together with next prime (312100031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192044164 + 120055849 = 13858^2 + 10957^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312100013 is a prime.

It is a super-2 number, since 2×312100013² = 194812836229200338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312099967 and 312100003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312100043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156050006 + 156050007.

It is an arithmetic number, because the mean of its divisors is an integer number (156050007).

Almost surely, 2^312100013 is an apocalyptic number.

It is an amenable number.

312100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312100013 is an equidigital number, since it uses as much as digits as its factorization.

312100013 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 11.

The square root of 312100013 is about 17666.3525663902. The cubic root of 312100013 is about 678.3147520636.

Adding to 312100013 its reverse (310001213), we get a palindrome (622101226).

The spelling of 312100013 in words is "three hundred twelve million, one hundred thousand, thirteen".