133002213230313 has 80 divisors (see below), whose sum is σ = 227743023302784. Its totient is φ = 75774537434880.

The previous prime is 133002213230287. The next prime is 133002213230321. The reversal of 133002213230313 is 313032312200331.

133002213230313 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 0 + 2 + 21 + 323 + 0 + 313 = 666.

It is not a de Polignac number, because 133002213230313 - 2¹⁸ = 133002212968169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133002213210313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2340694443 + ... + 2340751263.

Almost surely, 2^{133002213230313} is an apocalyptic number.

It is an amenable number.

133002213230313 is a deficient number, since it is larger than the sum of its proper divisors (94740810072471).

133002213230313 is a wasteful number, since it uses less digits than its factorization.

133002213230313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69084 (or 69075 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133002213230313 its reverse (313032312200331), we get a palindrome (446034525430644).

The spelling of 133002213230313 in words is "one hundred thirty-three trillion, two billion, two hundred thirteen million, two hundred thirty thousand, three hundred thirteen".