133220131212001 has 8 divisors (see below), whose sum is σ = 134699877729000. Its totient is φ = 131748193384320.

The previous prime is 133220131211891. The next prime is 133220131212011. The reversal of 133220131212001 is 100212131022331.

It can be written as a sum of positive squares in 4 ways, for example, as 1759803883776 + 131460327328225 = 1326576^2 + 11465615^2 .

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 133220131212001 - 2³¹ = 133217983728353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133220131212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1952138020 + ... + 1952206261.

It is an arithmetic number, because the mean of its divisors is an integer number (16837484716125).

Almost surely, 2^{133220131212001} is an apocalyptic number.

It is an amenable number.

133220131212001 is a deficient number, since it is larger than the sum of its proper divisors (1479746516999).

133220131212001 is a wasteful number, since it uses less digits than its factorization.

133220131212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904344659.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 133220131212001 its reverse (100212131022331), we get a palindrome (233432262234332).

The spelling of 133220131212001 in words is "one hundred thirty-three trillion, two hundred twenty billion, one hundred thirty-one million, two hundred twelve thousand, one".