312404104104041 has 2 divisors, whose sum is σ = 312404104104042. Its totient is φ = 312404104104040.

The previous prime is 312404104104019. The next prime is 312404104104067. The reversal of 312404104104041 is 140401401404213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312229041360016 + 175062744025 = 17670004^2 + 418405^2 .

It is a cyclic number.

It is not a de Polignac number, because 312404104104041 - 2³⁸ = 312129226197097 is a prime.

It is a super-2 number, since 2×312404104104041² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312404104103995 and 312404104104013.

It is not a weakly prime, because it can be changed into another prime (312404104100041) 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, 156202052052020 + 156202052052021.

It is an arithmetic number, because the mean of its divisors is an integer number (156202052052021).

Almost surely, 2^{312404104104041} is an apocalyptic number.

It is an amenable number.

312404104104041 is a deficient number, since it is larger than the sum of its proper divisors (1).

312404104104041 is an equidigital number, since it uses as much as digits as its factorization.

312404104104041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 312404104104041 its reverse (140401401404213), we get a palindrome (452805505508254).

The spelling of 312404104104041 in words is "three hundred twelve trillion, four hundred four billion, one hundred four million, one hundred four thousand, forty-one".