312413435329 has 2 divisors, whose sum is σ = 312413435330. Its totient is φ = 312413435328.

The previous prime is 312413435309. The next prime is 312413435333. The reversal of 312413435329 is 923534314213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309606554929 + 2806880400 = 556423^2 + 52980^2 .

It is a cyclic number.

It is not a de Polignac number, because 312413435329 - 2¹⁷ = 312413304257 is a prime.

It is a super-3 number, since 3×312413435329³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312413435291 and 312413435300.

It is not a weakly prime, because it can be changed into another prime (312413435309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156206717664 + 156206717665.

It is an arithmetic number, because the mean of its divisors is an integer number (156206717665).

Almost surely, 2^312413435329 is an apocalyptic number.

It is an amenable number.

312413435329 is a deficient number, since it is larger than the sum of its proper divisors (1).

312413435329 is an equidigital number, since it uses as much as digits as its factorization.

312413435329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 233280, while the sum is 40.

The spelling of 312413435329 in words is "three hundred twelve billion, four hundred thirteen million, four hundred thirty-five thousand, three hundred twenty-nine".