312420013 has 2 divisors, whose sum is σ = 312420014. Its totient is φ = 312420012.

The previous prime is 312420007. The next prime is 312420019. The reversal of 312420013 is 310024213.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (312420007) and next prime (312420019).

It can be written as a sum of positive squares in only one way, i.e., 310534884 + 1885129 = 17622^2 + 1373^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312420013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312420019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156210006 + 156210007.

It is an arithmetic number, because the mean of its divisors is an integer number (156210007).

Almost surely, 2^312420013 is an apocalyptic number.

It is an amenable number.

312420013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312420013 is an equidigital number, since it uses as much as digits as its factorization.

312420013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 312420013 is about 17675.4070108725. The cubic root of 312420013 is about 678.5465010423.

Adding to 312420013 its reverse (310024213), we get a palindrome (622444226).

It can be divided in two parts, 3124200 and 13, that added together give a palindrome (3124213).

The spelling of 312420013 in words is "three hundred twelve million, four hundred twenty thousand, thirteen".