1820100010133 has 2 divisors, whose sum is σ = 1820100010134. Its totient is φ = 1820100010132.

The previous prime is 1820100010097. The next prime is 1820100010151. The reversal of 1820100010133 is 3310100010281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1816950331249 + 3149678884 = 1347943^2 + 56122^2 .

It is an emirp because it is prime and its reverse (3310100010281) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1820100010133 - 2³² = 1815805042837 is a prime.

It is a super-2 number, since 2×1820100010133² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1820100010033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 910050005066 + 910050005067.

It is an arithmetic number, because the mean of its divisors is an integer number (910050005067).

Almost surely, 2^{1820100010133} is an apocalyptic number.

It is an amenable number.

1820100010133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1820100010133 is an equidigital number, since it uses as much as digits as its factorization.

1820100010133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 1820100010133 in words is "one trillion, eight hundred twenty billion, one hundred million, ten thousand, one hundred thirty-three".