1031110002137 has 2 divisors, whose sum is σ = 1031110002138. Its totient is φ = 1031110002136.

The previous prime is 1031110002133. The next prime is 1031110002151. The reversal of 1031110002137 is 7312000111301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1017265891216 + 13844110921 = 1008596^2 + 117661^2 .

It is an emirp because it is prime and its reverse (7312000111301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1031110002137 - 2² = 1031110002133 is a prime.

It is not a weakly prime, because it can be changed into another prime (1031110002133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515555001068 + 515555001069.

It is an arithmetic number, because the mean of its divisors is an integer number (515555001069).

Almost surely, 2^{1031110002137} is an apocalyptic number.

It is an amenable number.

1031110002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031110002137 is an equidigital number, since it uses as much as digits as its factorization.

1031110002137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 1031110002137 its reverse (7312000111301), we get a palindrome (8343110113438).

The spelling of 1031110002137 in words is "one trillion, thirty-one billion, one hundred ten million, two thousand, one hundred thirty-seven".