133221302323313 has 8 divisors (see below), whose sum is σ = 141058191352680. Its totient is φ = 125384451275520.

The previous prime is 133221302323303. The next prime is 133221302323363. The reversal of 133221302323313 is 313323203122331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 80398176049009 + 52823126274304 = 8966503^2 + 7267952^2 .

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 133221302323313 - 2³⁸ = 132946424416369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133221302323313.

It is not an unprimeable number, because it can be changed into a prime (133221302323303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2109878 + ... + 16458863.

It is an arithmetic number, because the mean of its divisors is an integer number (17632273919085).

Almost surely, 2^{133221302323313} is an apocalyptic number.

It is an amenable number.

133221302323313 is a deficient number, since it is larger than the sum of its proper divisors (7836889029367).

133221302323313 is a wasteful number, since it uses less digits than its factorization.

133221302323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18990787.

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 133221302323313 its reverse (313323203122331), we get a palindrome (446544505445644).

The spelling of 133221302323313 in words is "one hundred thirty-three trillion, two hundred twenty-one billion, three hundred two million, three hundred twenty-three thousand, three hundred thirteen".