1031111322001 has 2 divisors, whose sum is σ = 1031111322002. Its totient is φ = 1031111322000.

The previous prime is 1031111321971. The next prime is 1031111322011. The reversal of 1031111322001 is 1002231111301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1029545062225 + 1566259776 = 1014665^2 + 39576^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031111322001 - 2⁹ = 1031111321489 is a prime.

It is not a weakly prime, because it can be changed into another prime (1031111322011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515555661000 + 515555661001.

It is an arithmetic number, because the mean of its divisors is an integer number (515555661001).

Almost surely, 2^{1031111322001} is an apocalyptic number.

It is an amenable number.

1031111322001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031111322001 is an equidigital number, since it uses as much as digits as its factorization.

1031111322001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1031111322001 its reverse (1002231111301), we get a palindrome (2033342433302).

The spelling of 1031111322001 in words is "one trillion, thirty-one billion, one hundred eleven million, three hundred twenty-two thousand, one".