1031320231001 has 2 divisors, whose sum is σ = 1031320231002. Its totient is φ = 1031320231000.

The previous prime is 1031320230959. The next prime is 1031320231037. The reversal of 1031320231001 is 1001320231301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 569837775376 + 461482455625 = 754876^2 + 679325^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031320231001 - 2²² = 1031316036697 is a prime.

It is not a weakly prime, because it can be changed into another prime (1031320231901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515660115500 + 515660115501.

It is an arithmetic number, because the mean of its divisors is an integer number (515660115501).

Almost surely, 2^{1031320231001} is an apocalyptic number.

It is an amenable number.

1031320231001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031320231001 is an equidigital number, since it uses as much as digits as its factorization.

1031320231001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1031320231001 its reverse (1001320231301), we get a palindrome (2032640462302).

The spelling of 1031320231001 in words is "one trillion, thirty-one billion, three hundred twenty million, two hundred thirty-one thousand, one".