133323020121001 has 32 divisors (see below), whose sum is σ = 144694956395808. Its totient is φ = 122346921000960.

The previous prime is 133323020120989. The next prime is 133323020121007. The reversal of 133323020121001 is 100121020323331.

It can be written as a sum of positive squares in 16 ways, for example, as 114290531955625 + 19032488165376 = 10690675^2 + 4362624^2 .

It is a cyclic number.

It is not a de Polignac number, because 133323020121001 - 2¹⁹ = 133323019596713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133323020121007) 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 31 ways as a sum of consecutive naturals, for example, 10536863991 + ... + 10536876643.

It is an arithmetic number, because the mean of its divisors is an integer number (4521717387369).

Almost surely, 2^{133323020121001} is an apocalyptic number.

It is an amenable number.

133323020121001 is a deficient number, since it is larger than the sum of its proper divisors (11371936274807).

133323020121001 is a wasteful number, since it uses less digits than its factorization.

133323020121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20541.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 133323020121001 its reverse (100121020323331), we get a palindrome (233444040444332).

The spelling of 133323020121001 in words is "one hundred thirty-three trillion, three hundred twenty-three billion, twenty million, one hundred twenty-one thousand, one".