312413130131041 has 2 divisors, whose sum is σ = 312413130131042. Its totient is φ = 312413130131040.

The previous prime is 312413130130867. The next prime is 312413130131099. The reversal of 312413130131041 is 140131031314213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312348926172816 + 64203958225 = 17673396^2 + 253385^2 .

It is an emirp because it is prime and its reverse (140131031314213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312413130131041 - 2⁹ = 312413130130529 is a prime.

It is not a weakly prime, because it can be changed into another prime (312413130131741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156206565065520 + 156206565065521.

It is an arithmetic number, because the mean of its divisors is an integer number (156206565065521).

Almost surely, 2^{312413130131041} is an apocalyptic number.

It is an amenable number.

312413130131041 is a deficient number, since it is larger than the sum of its proper divisors (1).

312413130131041 is an equidigital number, since it uses as much as digits as its factorization.

312413130131041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 312413130131041 its reverse (140131031314213), we get a palindrome (452544161445254).

The spelling of 312413130131041 in words is "three hundred twelve trillion, four hundred thirteen billion, one hundred thirty million, one hundred thirty-one thousand, forty-one".