1012000310137 has 2 divisors, whose sum is σ = 1012000310138. Its totient is φ = 1012000310136.

The previous prime is 1012000309987. The next prime is 1012000310177. The reversal of 1012000310137 is 7310130002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 948810416761 + 63189893376 = 974069^2 + 251376^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012000310137 - 2¹⁵ = 1012000277369 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012000310177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506000155068 + 506000155069.

It is an arithmetic number, because the mean of its divisors is an integer number (506000155069).

Almost surely, 2^{1012000310137} is an apocalyptic number.

It is an amenable number.

1012000310137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012000310137 is an equidigital number, since it uses as much as digits as its factorization.

1012000310137 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 19.

Adding to 1012000310137 its reverse (7310130002101), we get a palindrome (8322130312238).

The spelling of 1012000310137 in words is "one trillion, twelve billion, three hundred ten thousand, one hundred thirty-seven".