1031132310031 has 2 divisors, whose sum is σ = 1031132310032. Its totient is φ = 1031132310030.

The previous prime is 1031132309981. The next prime is 1031132310067. The reversal of 1031132310031 is 1300132311301.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1031132310031 - 2¹¹ = 1031132307983 is a prime.

It is a super-2 number, since 2×1031132310031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031132309990 and 1031132310008.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031132310071) 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, 515566155015 + 515566155016.

It is an arithmetic number, because the mean of its divisors is an integer number (515566155016).

Almost surely, 2^{1031132310031} is an apocalyptic number.

1031132310031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031132310031 is an equidigital number, since it uses as much as digits as its factorization.

1031132310031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1031132310031 its reverse (1300132311301), we get a palindrome (2331264621332).

The spelling of 1031132310031 in words is "one trillion, thirty-one billion, one hundred thirty-two million, three hundred ten thousand, thirty-one".