312233222211041 has 2 divisors, whose sum is σ = 312233222211042. Its totient is φ = 312233222211040.

The previous prime is 312233222210971. The next prime is 312233222211109. The reversal of 312233222211041 is 140112222332213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293231512992016 + 19001709219025 = 17124004^2 + 4359095^2 .

It is a cyclic number.

It is not a de Polignac number, because 312233222211041 - 2¹⁴ = 312233222194657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312233222210995 and 312233222211013.

It is not a weakly prime, because it can be changed into another prime (312233222211541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156116611105520 + 156116611105521.

It is an arithmetic number, because the mean of its divisors is an integer number (156116611105521).

Almost surely, 2^{312233222211041} is an apocalyptic number.

It is an amenable number.

312233222211041 is a deficient number, since it is larger than the sum of its proper divisors (1).

312233222211041 is an equidigital number, since it uses as much as digits as its factorization.

312233222211041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 312233222211041 its reverse (140112222332213), we get a palindrome (452345444543254).

The spelling of 312233222211041 in words is "three hundred twelve trillion, two hundred thirty-three billion, two hundred twenty-two million, two hundred eleven thousand, forty-one".