1110131310257 has 2 divisors, whose sum is σ = 1110131310258. Its totient is φ = 1110131310256.

The previous prime is 1110131310187. The next prime is 1110131310263. The reversal of 1110131310257 is 7520131310111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1088675212816 + 21456097441 = 1043396^2 + 146479^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110131310257 - 2¹⁸ = 1110131048113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1110131340257) 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, 555065655128 + 555065655129.

It is an arithmetic number, because the mean of its divisors is an integer number (555065655129).

Almost surely, 2^{1110131310257} is an apocalyptic number.

It is an amenable number.

1110131310257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110131310257 is an equidigital number, since it uses as much as digits as its factorization.

1110131310257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 26.

Adding to 1110131310257 its reverse (7520131310111), we get a palindrome (8630262620368).

The spelling of 1110131310257 in words is "one trillion, one hundred ten billion, one hundred thirty-one million, three hundred ten thousand, two hundred fifty-seven".