321121031041 has 2 divisors, whose sum is σ = 321121031042. Its totient is φ = 321121031040.

The previous prime is 321121030973. The next prime is 321121031059. The reversal of 321121031041 is 140130121123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244431360000 + 76689671041 = 494400^2 + 276929^2 .

It is a cyclic number.

It is not a de Polignac number, because 321121031041 - 2¹⁹ = 321120506753 is a prime.

It is a super-3 number, since 3×321121031041³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (321121001041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160560515520 + 160560515521.

It is an arithmetic number, because the mean of its divisors is an integer number (160560515521).

Almost surely, 2^321121031041 is an apocalyptic number.

It is an amenable number.

321121031041 is a deficient number, since it is larger than the sum of its proper divisors (1).

321121031041 is an equidigital number, since it uses as much as digits as its factorization.

321121031041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 321121031041 its reverse (140130121123), we get a palindrome (461251152164).

The spelling of 321121031041 in words is "three hundred twenty-one billion, one hundred twenty-one million, thirty-one thousand, forty-one".