1012033031137 has 2 divisors, whose sum is σ = 1012033031138. Its totient is φ = 1012033031136.

The previous prime is 1012033031081. The next prime is 1012033031143. The reversal of 1012033031137 is 7311303302101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 731984624721 + 280048406416 = 855561^2 + 529196^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1012033031137 is a prime.

It is a super-2 number, since 2×1012033031137² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1012033032137) 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, 506016515568 + 506016515569.

It is an arithmetic number, because the mean of its divisors is an integer number (506016515569).

Almost surely, 2^{1012033031137} is an apocalyptic number.

It is an amenable number.

1012033031137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012033031137 is an equidigital number, since it uses as much as digits as its factorization.

1012033031137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 1012033031137 its reverse (7311303302101), we get a palindrome (8323336333238).

The spelling of 1012033031137 in words is "one trillion, twelve billion, thirty-three million, thirty-one thousand, one hundred thirty-seven".