1031131002257 has 2 divisors, whose sum is σ = 1031131002258. Its totient is φ = 1031131002256.

The previous prime is 1031131002191. The next prime is 1031131002301. The reversal of 1031131002257 is 7522001311301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1026485080336 + 4645921921 = 1013156^2 + 68161^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031131002257 - 2³⁴ = 1013951133073 is a prime.

It is a super-2 number, since 2×1031131002257² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1031131002157) 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, 515565501128 + 515565501129.

It is an arithmetic number, because the mean of its divisors is an integer number (515565501129).

Almost surely, 2^{1031131002257} is an apocalyptic number.

It is an amenable number.

1031131002257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031131002257 is an equidigital number, since it uses as much as digits as its factorization.

1031131002257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 26.

Adding to 1031131002257 its reverse (7522001311301), we get a palindrome (8553132313558).

The spelling of 1031131002257 in words is "one trillion, thirty-one billion, one hundred thirty-one million, two thousand, two hundred fifty-seven".