10103331133109 has 2 divisors, whose sum is σ = 10103331133110. Its totient is φ = 10103331133108.

The previous prime is 10103331133079. The next prime is 10103331133121. The reversal of 10103331133109 is 90133113330101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9950901795025 + 152429338084 = 3154505^2 + 390422^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103331133109 - 2⁴⁰ = 9003819505333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10103331133169) 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, 5051665566554 + 5051665566555.

It is an arithmetic number, because the mean of its divisors is an integer number (5051665566555).

Almost surely, 2^{10103331133109} is an apocalyptic number.

It is an amenable number.

10103331133109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103331133109 is an equidigital number, since it uses as much as digits as its factorization.

10103331133109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 29.

The spelling of 10103331133109 in words is "ten trillion, one hundred three billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred nine".