312334303330201 has 12 divisors (see below), whose sum is σ = 321006933753660. Its totient is φ = 303889981397760.

The previous prime is 312334303330171. The next prime is 312334303330211. The reversal of 312334303330201 is 102033303433213.

It can be written as a sum of positive squares in 6 ways, for example, as 7069669443225 + 305264633886976 = 2658885^2 + 17471824^2 .

It is not a de Polignac number, because 312334303330201 - 2¹³ = 312334303322009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312334303330211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152806965 + ... + 154837453.

It is an arithmetic number, because the mean of its divisors is an integer number (26750577812805).

Almost surely, 2^{312334303330201} is an apocalyptic number.

It is an amenable number.

312334303330201 is a deficient number, since it is larger than the sum of its proper divisors (8672630423459).

312334303330201 is a wasteful number, since it uses less digits than its factorization.

312334303330201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142924 (or 2142887 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 31.

Adding to 312334303330201 its reverse (102033303433213), we get a palindrome (414367606763414).

The spelling of 312334303330201 in words is "three hundred twelve trillion, three hundred thirty-four billion, three hundred three million, three hundred thirty thousand, two hundred one".