1001332331057 has 2 divisors, whose sum is σ = 1001332331058. Its totient is φ = 1001332331056.

The previous prime is 1001332330949. The next prime is 1001332331089. The reversal of 1001332331057 is 7501332331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 673325278096 + 328007052961 = 820564^2 + 572719^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001332331057 - 2²⁴ = 1001315553841 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001332331557) 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, 500666165528 + 500666165529.

It is an arithmetic number, because the mean of its divisors is an integer number (500666165529).

Almost surely, 2^{1001332331057} is an apocalyptic number.

It is an amenable number.

1001332331057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001332331057 is an equidigital number, since it uses as much as digits as its factorization.

1001332331057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 29.

Adding to 1001332331057 its reverse (7501332331001), we get a palindrome (8502664662058).

The spelling of 1001332331057 in words is "one trillion, one billion, three hundred thirty-two million, three hundred thirty-one thousand, fifty-seven".