1820010100133 has 2 divisors, whose sum is σ = 1820010100134. Its totient is φ = 1820010100132.

The previous prime is 1820010100123. The next prime is 1820010100157. The reversal of 1820010100133 is 3310010100281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1230897053764 + 589113046369 = 1109458^2 + 767537^2 .

It is an emirp because it is prime and its reverse (3310010100281) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1820010100133 - 2¹⁶ = 1820010034597 is a prime.

It is a super-2 number, since 2×1820010100133² (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 (1820010100123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 910005050066 + 910005050067.

It is an arithmetic number, because the mean of its divisors is an integer number (910005050067).

Almost surely, 2^{1820010100133} is an apocalyptic number.

It is an amenable number.

1820010100133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1820010100133 is an equidigital number, since it uses as much as digits as its factorization.

1820010100133 is an evil number, because the sum of its binary digits is even.

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

The spelling of 1820010100133 in words is "one trillion, eight hundred twenty billion, ten million, one hundred thousand, one hundred thirty-three".