312201013 has 2 divisors, whose sum is σ = 312201014. Its totient is φ = 312201012.

The previous prime is 312200983. The next prime is 312201023. The reversal of 312201013 is 310102213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224460324 + 87740689 = 14982^2 + 9367^2 .

It is an emirp because it is prime and its reverse (310102213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312201013 - 2⁵ = 312200981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312200984 and 312201002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312201023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156100506 + 156100507.

It is an arithmetic number, because the mean of its divisors is an integer number (156100507).

Almost surely, 2^312201013 is an apocalyptic number.

It is an amenable number.

312201013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312201013 is an equidigital number, since it uses as much as digits as its factorization.

312201013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 312201013 is about 17669.2108765502. The cubic root of 312201013 is about 678.3879149368.

Adding to 312201013 its reverse (310102213), we get a palindrome (622303226).

The spelling of 312201013 in words is "three hundred twelve million, two hundred one thousand, thirteen".