1331024314241 has 2 divisors, whose sum is σ = 1331024314242. Its totient is φ = 1331024314240.

The previous prime is 1331024314219. The next prime is 1331024314253. The reversal of 1331024314241 is 1424134201331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1212410199025 + 118614115216 = 1101095^2 + 344404^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331024314241 - 2¹⁸ = 1331024052097 is a prime.

It is not a weakly prime, because it can be changed into another prime (1331024394241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665512157120 + 665512157121.

It is an arithmetic number, because the mean of its divisors is an integer number (665512157121).

Almost surely, 2^{1331024314241} is an apocalyptic number.

It is an amenable number.

1331024314241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331024314241 is an equidigital number, since it uses as much as digits as its factorization.

1331024314241 is an evil number, because the sum of its binary digits is even.

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

Adding to 1331024314241 its reverse (1424134201331), we get a palindrome (2755158515572).

The spelling of 1331024314241 in words is "one trillion, three hundred thirty-one billion, twenty-four million, three hundred fourteen thousand, two hundred forty-one".