312141420213041 has 2 divisors, whose sum is σ = 312141420213042. Its totient is φ = 312141420213040.

The previous prime is 312141420212953. The next prime is 312141420213089. The reversal of 312141420213041 is 140312024141213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 280546453729441 + 31594966483600 = 16749521^2 + 5620940^2 .

It is a cyclic number.

It is not a de Polignac number, because 312141420213041 - 2³⁴ = 312124240343857 is a prime.

It is a super-2 number, since 2×312141420213041² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312141420212995 and 312141420213013.

It is not a weakly prime, because it can be changed into another prime (312141420213841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070710106520 + 156070710106521.

It is an arithmetic number, because the mean of its divisors is an integer number (156070710106521).

Almost surely, 2^{312141420213041} is an apocalyptic number.

It is an amenable number.

312141420213041 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141420213041 is an equidigital number, since it uses as much as digits as its factorization.

312141420213041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 312141420213041 its reverse (140312024141213), we get a palindrome (452453444354254).

The spelling of 312141420213041 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty million, two hundred thirteen thousand, forty-one".