312334133 has 2 divisors, whose sum is σ = 312334134. Its totient is φ = 312334132.

The previous prime is 312334111. The next prime is 312334153. The reversal of 312334133 is 331433213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 259306609 + 53027524 = 16103^2 + 7282^2 .

It is a cyclic number.

It is not a de Polignac number, because 312334133 - 2²⁶ = 245225269 is a prime.

It is a super-2 number, since 2×312334133² = 195105221273723378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312334099 and 312334108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312334153) 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, 156167066 + 156167067.

It is an arithmetic number, because the mean of its divisors is an integer number (156167067).

Almost surely, 2^312334133 is an apocalyptic number.

It is an amenable number.

312334133 is a deficient number, since it is larger than the sum of its proper divisors (1).

312334133 is an equidigital number, since it uses as much as digits as its factorization.

312334133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 23.

The square root of 312334133 is about 17672.9774797571. The cubic root of 312334133 is about 678.4843209520.

Adding to 312334133 its reverse (331433213), we get a palindrome (643767346).

The spelling of 312334133 in words is "three hundred twelve million, three hundred thirty-four thousand, one hundred thirty-three".