133213301112301 has 2 divisors, whose sum is σ = 133213301112302. Its totient is φ = 133213301112300.

The previous prime is 133213301112253. The next prime is 133213301112317. The reversal of 133213301112301 is 103211103312331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69642196136100 + 63571104976201 = 8345190^2 + 7973149^2 .

It is a cyclic number.

It is not a de Polignac number, because 133213301112301 - 2²⁵ = 133213267557869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133213301113301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66606650556150 + 66606650556151.

It is an arithmetic number, because the mean of its divisors is an integer number (66606650556151).

Almost surely, 2^{133213301112301} is an apocalyptic number.

It is an amenable number.

133213301112301 is a deficient number, since it is larger than the sum of its proper divisors (1).

133213301112301 is an equidigital number, since it uses as much as digits as its factorization.

133213301112301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 133213301112301 its reverse (103211103312331), we get a palindrome (236424404424632).

The spelling of 133213301112301 in words is "one hundred thirty-three trillion, two hundred thirteen billion, three hundred one million, one hundred twelve thousand, three hundred one".