312324013 has 2 divisors, whose sum is σ = 312324014. Its totient is φ = 312324012.

The previous prime is 312323953. The next prime is 312324029. The reversal of 312324013 is 310423213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308986084 + 3337929 = 17578^2 + 1827^2 .

It is a cyclic number.

It is not a de Polignac number, because 312324013 - 2¹³ = 312315821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312324053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156162006 + 156162007.

It is an arithmetic number, because the mean of its divisors is an integer number (156162007).

Almost surely, 2^312324013 is an apocalyptic number.

It is an amenable number.

312324013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312324013 is an equidigital number, since it uses as much as digits as its factorization.

312324013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 312324013 is about 17672.6911646189. The cubic root of 312324013 is about 678.4769929713.

Adding to 312324013 its reverse (310423213), we get a palindrome (622747226).

It can be divided in two parts, 31232 and 4013, that added together give a triangular number (35245 = T₂₆₅).

The spelling of 312324013 in words is "three hundred twelve million, three hundred twenty-four thousand, thirteen".