133120133003221 has 36 divisors (see below), whose sum is σ = 177152683421028. Its totient is φ = 99130182939648.

The previous prime is 133120133003173. The next prime is 133120133003251. The reversal of 133120133003221 is 122300331021331.

It can be written as a sum of positive squares in 6 ways, for example, as 12816221000625 + 120303912002596 = 3579975^2 + 10968314^2 .

It is not a de Polignac number, because 133120133003221 - 2¹³ = 133120132995029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133120133003251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 361372656 + ... + 361740841.

Almost surely, 2^{133120133003221} is an apocalyptic number.

It is an amenable number.

133120133003221 is a deficient number, since it is larger than the sum of its proper divisors (44032550417807).

133120133003221 is a wasteful number, since it uses less digits than its factorization.

133120133003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723113558 (or 723113534 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 133120133003221 its reverse (122300331021331), we get a palindrome (255420464024552).

The spelling of 133120133003221 in words is "one hundred thirty-three trillion, one hundred twenty billion, one hundred thirty-three million, three thousand, two hundred twenty-one".