1331121041 has 2 divisors, whose sum is σ = 1331121042. Its totient is φ = 1331121040.

The previous prime is 1331121017. The next prime is 1331121053. The reversal of 1331121041 is 1401211331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1317980416 + 13140625 = 36304^2 + 3625^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331121041 - 2⁶ = 1331120977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1331121541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665560520 + 665560521.

It is an arithmetic number, because the mean of its divisors is an integer number (665560521).

Almost surely, 2^1331121041 is an apocalyptic number.

It is an amenable number.

1331121041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331121041 is an equidigital number, since it uses as much as digits as its factorization.

1331121041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1331121041 is about 36484.5315304993. The cubic root of 1331121041 is about 1100.0333436174.

Adding to 1331121041 its reverse (1401211331), we get a palindrome (2732332372).

The spelling of 1331121041 in words is "one billion, three hundred thirty-one million, one hundred twenty-one thousand, forty-one".