3036101330137 has 2 divisors, whose sum is σ = 3036101330138. Its totient is φ = 3036101330136.

The previous prime is 3036101330117. The next prime is 3036101330149. The reversal of 3036101330137 is 7310331016303.

It is a happy number.

3036101330137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2661527953561 + 374573376576 = 1631419^2 + 612024^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3036101330137 is a prime.

It is a super-3 number, since 3×3036101330137³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3036101330099 and 3036101330108.

It is not a weakly prime, because it can be changed into another prime (3036101330117) 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, 1518050665068 + 1518050665069.

It is an arithmetic number, because the mean of its divisors is an integer number (1518050665069).

Almost surely, 2^{3036101330137} is an apocalyptic number.

It is an amenable number.

3036101330137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3036101330137 is an equidigital number, since it uses as much as digits as its factorization.

3036101330137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 31.

The spelling of 3036101330137 in words is "three trillion, thirty-six billion, one hundred one million, three hundred thirty thousand, one hundred thirty-seven".