1003112111137 has 2 divisors, whose sum is σ = 1003112111138. Its totient is φ = 1003112111136.

The previous prime is 1003112111087. The next prime is 1003112111201. The reversal of 1003112111137 is 7311112113001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 630779054656 + 372333056481 = 794216^2 + 610191^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003112111137 - 2¹¹ = 1003112109089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1003112111437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501556055568 + 501556055569.

It is an arithmetic number, because the mean of its divisors is an integer number (501556055569).

Almost surely, 2^{1003112111137} is an apocalyptic number.

It is an amenable number.

1003112111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003112111137 is an equidigital number, since it uses as much as digits as its factorization.

1003112111137 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 22.

Adding to 1003112111137 its reverse (7311112113001), we get a palindrome (8314224224138).

The spelling of 1003112111137 in words is "one trillion, three billion, one hundred twelve million, one hundred eleven thousand, one hundred thirty-seven".