21133101032033 has 2 divisors, whose sum is σ = 21133101032034. Its totient is φ = 21133101032032.

The previous prime is 21133101032003. The next prime is 21133101032041. The reversal of 21133101032033 is 33023010133112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11052114078784 + 10080986953249 = 3324472^2 + 3175057^2 .

It is a cyclic number.

It is not a de Polignac number, because 21133101032033 - 2²⁴ = 21133084254817 is a prime.

It is a super-3 number, since 3×21133101032033³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (21133101032003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10566550516016 + 10566550516017.

It is an arithmetic number, because the mean of its divisors is an integer number (10566550516017).

Almost surely, 2^{21133101032033} is an apocalyptic number.

It is an amenable number.

21133101032033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21133101032033 is an equidigital number, since it uses as much as digits as its factorization.

21133101032033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 21133101032033 its reverse (33023010133112), we get a palindrome (54156111165145).

The spelling of 21133101032033 in words is "twenty-one trillion, one hundred thirty-three billion, one hundred one million, thirty-two thousand, thirty-three".