10013330330137 has 2 divisors, whose sum is σ = 10013330330138. Its totient is φ = 10013330330136.

The previous prime is 10013330330027. The next prime is 10013330330221. The reversal of 10013330330137 is 73103303331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7323431841856 + 2689898488281 = 2706184^2 + 1640091^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013330330137 - 2⁴³ = 1217237307929 is a prime.

It is a super-2 number, since 2×10013330330137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10013330330737) 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, 5006665165068 + 5006665165069.

It is an arithmetic number, because the mean of its divisors is an integer number (5006665165069).

Almost surely, 2^{10013330330137} is an apocalyptic number.

It is an amenable number.

10013330330137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013330330137 is an equidigital number, since it uses as much as digits as its factorization.

10013330330137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103, while the sum is 28.

Adding to 10013330330137 its reverse (73103303331001), we get a palindrome (83116633661138).

The spelling of 10013330330137 in words is "ten trillion, thirteen billion, three hundred thirty million, three hundred thirty thousand, one hundred thirty-seven".