133011122101133 has 2 divisors, whose sum is σ = 133011122101134. Its totient is φ = 133011122101132.

The previous prime is 133011122101111. The next prime is 133011122101139. The reversal of 133011122101133 is 331101221110331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130820020524964 + 2191101576169 = 11437658^2 + 1480237^2 .

It is a cyclic number.

It is not a de Polignac number, because 133011122101133 - 2⁸ = 133011122100877 is a prime.

It is a super-2 number, since 2×133011122101133² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133011122101099 and 133011122101108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133011122101139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66505561050566 + 66505561050567.

It is an arithmetic number, because the mean of its divisors is an integer number (66505561050567).

Almost surely, 2^{133011122101133} is an apocalyptic number.

It is an amenable number.

133011122101133 is a deficient number, since it is larger than the sum of its proper divisors (1).

133011122101133 is an equidigital number, since it uses as much as digits as its factorization.

133011122101133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 133011122101133 its reverse (331101221110331), we get a palindrome (464112343211464).

The spelling of 133011122101133 in words is "one hundred thirty-three trillion, eleven billion, one hundred twenty-two million, one hundred one thousand, one hundred thirty-three".