133323112001201 has 8 divisors (see below), whose sum is σ = 135839114323560. Its totient is φ = 130807127156992.

The previous prime is 133323112001197. The next prime is 133323112001221. The reversal of 133323112001201 is 102100211323331.

It can be written as a sum of positive squares in 4 ways, for example, as 94260312000625 + 39062800000576 = 9708775^2 + 6250024^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133323112001201 - 2² = 133323112001197 is a prime.

It is a super-3 number, since 3×133323112001201³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133323112001221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11574185 + ... + 20015193.

It is an arithmetic number, because the mean of its divisors is an integer number (16979889290445).

Almost surely, 2^{133323112001201} is an apocalyptic number.

It is an amenable number.

133323112001201 is a deficient number, since it is larger than the sum of its proper divisors (2516002322359).

133323112001201 is an equidigital number, since it uses as much as digits as its factorization.

133323112001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8739075.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 133323112001201 its reverse (102100211323331), we get a palindrome (235423323324532).

The spelling of 133323112001201 in words is "one hundred thirty-three trillion, three hundred twenty-three billion, one hundred twelve million, one thousand, two hundred one".