133123100033201 has 2 divisors, whose sum is σ = 133123100033202. Its totient is φ = 133123100033200.

The previous prime is 133123100033153. The next prime is 133123100033221. The reversal of 133123100033201 is 102330001321331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94384625280625 + 38738474752576 = 9715175^2 + 6224024^2 .

It is a cyclic number.

It is not a de Polignac number, because 133123100033201 - 2¹⁰ = 133123100032177 is a prime.

It is not a weakly prime, because it can be changed into another prime (133123100033221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66561550016600 + 66561550016601.

It is an arithmetic number, because the mean of its divisors is an integer number (66561550016601).

Almost surely, 2^{133123100033201} is an apocalyptic number.

It is an amenable number.

133123100033201 is a deficient number, since it is larger than the sum of its proper divisors (1).

133123100033201 is an equidigital number, since it uses as much as digits as its factorization.

133123100033201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 133123100033201 its reverse (102330001321331), we get a palindrome (235453101354532).

The spelling of 133123100033201 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, one hundred million, thirty-three thousand, two hundred one".