10083693144137 has 2 divisors, whose sum is σ = 10083693144138. Its totient is φ = 10083693144136.

The previous prime is 10083693144079. The next prime is 10083693144157. The reversal of 10083693144137 is 73144139638001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8021220894976 + 2062472249161 = 2832176^2 + 1436131^2 .

It is a cyclic number.

It is not a de Polignac number, because 10083693144137 - 2²⁸ = 10083424708681 is a prime.

It is a super-3 number, since 3×10083693144137³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10083693144157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5041846572068 + 5041846572069.

It is an arithmetic number, because the mean of its divisors is an integer number (5041846572069).

Almost surely, 2^{10083693144137} is an apocalyptic number.

It is an amenable number.

10083693144137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10083693144137 is an equidigital number, since it uses as much as digits as its factorization.

10083693144137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 10083693144137 in words is "ten trillion, eighty-three billion, six hundred ninety-three million, one hundred forty-four thousand, one hundred thirty-seven".