20101133232133 has 2 divisors, whose sum is σ = 20101133232134. Its totient is φ = 20101133232132.

The previous prime is 20101133232109. The next prime is 20101133232149. The reversal of 20101133232133 is 33123233110102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19132164685089 + 968968547044 = 4374033^2 + 984362^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101133232133 - 2⁵ = 20101133232101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20101133232098 and 20101133232107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101133232533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050566616066 + 10050566616067.

It is an arithmetic number, because the mean of its divisors is an integer number (10050566616067).

Almost surely, 2^{20101133232133} is an apocalyptic number.

It is an amenable number.

20101133232133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101133232133 is an equidigital number, since it uses as much as digits as its factorization.

20101133232133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 20101133232133 its reverse (33123233110102), we get a palindrome (53224366342235).

The spelling of 20101133232133 in words is "twenty trillion, one hundred one billion, one hundred thirty-three million, two hundred thirty-two thousand, one hundred thirty-three".