312313102033 has 2 divisors, whose sum is σ = 312313102034. Its totient is φ = 312313102032.

The previous prime is 312313102009. The next prime is 312313102069. The reversal of 312313102033 is 330201313213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 285143184144 + 27169917889 = 533988^2 + 164833^2 .

It is an emirp because it is prime and its reverse (330201313213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312313102033 - 2²¹ = 312311004881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312313101995 and 312313102013.

It is not a weakly prime, because it can be changed into another prime (312313102333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156156551016 + 156156551017.

It is an arithmetic number, because the mean of its divisors is an integer number (156156551017).

Almost surely, 2^312313102033 is an apocalyptic number.

It is an amenable number.

312313102033 is a deficient number, since it is larger than the sum of its proper divisors (1).

312313102033 is an equidigital number, since it uses as much as digits as its factorization.

312313102033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 312313102033 its reverse (330201313213), we get a palindrome (642514415246).

The spelling of 312313102033 in words is "three hundred twelve billion, three hundred thirteen million, one hundred two thousand, thirty-three".