1121310131257 has 2 divisors, whose sum is σ = 1121310131258. Its totient is φ = 1121310131256.

The previous prime is 1121310131147. The next prime is 1121310131297. The reversal of 1121310131257 is 7521310131211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1043168078736 + 78142052521 = 1021356^2 + 279539^2 .

It is an emirp because it is prime and its reverse (7521310131211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1121310131257 - 2¹¹ = 1121310129209 is a prime.

It is not a weakly prime, because it can be changed into another prime (1121310131297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560655065628 + 560655065629.

It is an arithmetic number, because the mean of its divisors is an integer number (560655065629).

Almost surely, 2^{1121310131257} is an apocalyptic number.

It is an amenable number.

1121310131257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121310131257 is an equidigital number, since it uses as much as digits as its factorization.

1121310131257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 28.

Adding to 1121310131257 its reverse (7521310131211), we get a palindrome (8642620262468).

The spelling of 1121310131257 in words is "one trillion, one hundred twenty-one billion, three hundred ten million, one hundred thirty-one thousand, two hundred fifty-seven".