133002200305133 has 2 divisors, whose sum is σ = 133002200305134. Its totient is φ = 133002200305132.

The previous prime is 133002200305087. The next prime is 133002200305153. The reversal of 133002200305133 is 331503002200331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124528034779369 + 8474165525764 = 11159213^2 + 2911042^2 .

It is a cyclic number.

It is not a de Polignac number, because 133002200305133 - 2¹⁰ = 133002200304109 is a prime.

It is a super-2 number, since 2×133002200305133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133002200305153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66501100152566 + 66501100152567.

It is an arithmetic number, because the mean of its divisors is an integer number (66501100152567).

Almost surely, 2^{133002200305133} is an apocalyptic number.

It is an amenable number.

133002200305133 is a deficient number, since it is larger than the sum of its proper divisors (1).

133002200305133 is an equidigital number, since it uses as much as digits as its factorization.

133002200305133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 26.

Adding to 133002200305133 its reverse (331503002200331), we get a palindrome (464505202505464).

The spelling of 133002200305133 in words is "one hundred thirty-three trillion, two billion, two hundred million, three hundred five thousand, one hundred thirty-three".