133221311323213 has 32 divisors (see below), whose sum is σ = 136331456105600. Its totient is φ = 130150551168000.

The previous prime is 133221311323207. The next prime is 133221311323241. The reversal of 133221311323213 is 312323113122331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133221311323213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133221311323253) 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 31 ways as a sum of consecutive naturals, for example, 10909936678 + ... + 10909948888.

It is an arithmetic number, because the mean of its divisors is an integer number (4260358003300).

Almost surely, 2^{133221311323213} is an apocalyptic number.

It is an amenable number.

133221311323213 is a deficient number, since it is larger than the sum of its proper divisors (3110144782387).

133221311323213 is a wasteful number, since it uses less digits than its factorization.

133221311323213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14813.

The product of its digits is 11664, while the sum is 31.

Adding to 133221311323213 its reverse (312323113122331), we get a palindrome (445544424445544).

The spelling of 133221311323213 in words is "one hundred thirty-three trillion, two hundred twenty-one billion, three hundred eleven million, three hundred twenty-three thousand, two hundred thirteen".