133201112000101 has 2 divisors, whose sum is σ = 133201112000102. Its totient is φ = 133201112000100.

The previous prime is 133201112000083. The next prime is 133201112000141. The reversal of 133201112000101 is 101000211102331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115925575731876 + 17275536268225 = 10766874^2 + 4156385^2 .

It is a cyclic number.

It is not a de Polignac number, because 133201112000101 - 2⁹ = 133201111999589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133201112000141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66600556000050 + 66600556000051.

It is an arithmetic number, because the mean of its divisors is an integer number (66600556000051).

Almost surely, 2^{133201112000101} is an apocalyptic number.

It is an amenable number.

133201112000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

133201112000101 is an equidigital number, since it uses as much as digits as its factorization.

133201112000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 133201112000101 its reverse (101000211102331), we get a palindrome (234201323102432).

The spelling of 133201112000101 in words is "one hundred thirty-three trillion, two hundred one billion, one hundred twelve million, one hundred one", and thus it is an aban number.