312353240201 has 2 divisors, whose sum is σ = 312353240202. Its totient is φ = 312353240200.

The previous prime is 312353240183. The next prime is 312353240219. The reversal of 312353240201 is 102042353213.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (312353240183) and next prime (312353240219).

It can be written as a sum of positive squares in only one way, i.e., 229489860601 + 82863379600 = 479051^2 + 287860^2 .

It is a cyclic number.

It is not a de Polignac number, because 312353240201 - 2²⁶ = 312286131337 is a prime.

It is not a weakly prime, because it can be changed into another prime (312353240231) 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, 156176620100 + 156176620101.

It is an arithmetic number, because the mean of its divisors is an integer number (156176620101).

Almost surely, 2^312353240201 is an apocalyptic number.

It is an amenable number.

312353240201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312353240201 is an equidigital number, since it uses as much as digits as its factorization.

312353240201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 312353240201 its reverse (102042353213), we get a palindrome (414395593414).

The spelling of 312353240201 in words is "three hundred twelve billion, three hundred fifty-three million, two hundred forty thousand, two hundred one".