20100120310133 has 2 divisors, whose sum is σ = 20100120310134. Its totient is φ = 20100120310132.

The previous prime is 20100120310117. The next prime is 20100120310213. The reversal of 20100120310133 is 33101302100102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15827722257649 + 4272398052484 = 3978407^2 + 2066978^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100120310133 - 2⁴ = 20100120310117 is a prime.

It is a super-2 number, since 2×20100120310133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20100120312133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050060155066 + 10050060155067.

It is an arithmetic number, because the mean of its divisors is an integer number (10050060155067).

Almost surely, 2^{20100120310133} is an apocalyptic number.

It is an amenable number.

20100120310133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100120310133 is an equidigital number, since it uses as much as digits as its factorization.

20100120310133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 20100120310133 its reverse (33101302100102), we get a palindrome (53201422410235).

The spelling of 20100120310133 in words is "twenty trillion, one hundred billion, one hundred twenty million, three hundred ten thousand, one hundred thirty-three".