133122321121313 has 8 divisors (see below), whose sum is σ = 133148806370208. Its totient is φ = 133095837381984.

The previous prime is 133122321121303. The next prime is 133122321121327. The reversal of 133122321121313 is 313121123221331.

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 133122321121313 - 2¹⁸ = 133122320859169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133122321121303) 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, 185005970 + ... + 185724132.

It is an arithmetic number, because the mean of its divisors is an integer number (16643600796276).

Almost surely, 2^{133122321121313} is an apocalyptic number.

It is an amenable number.

133122321121313 is a deficient number, since it is larger than the sum of its proper divisors (26485248895).

133122321121313 is an equidigital number, since it uses as much as digits as its factorization.

133122321121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754783.

The product of its digits is 3888, while the sum is 29.

Adding to 133122321121313 its reverse (313121123221331), we get a palindrome (446243444342644).

The spelling of 133122321121313 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, three hundred twenty-one million, one hundred twenty-one thousand, three hundred thirteen".