133310133021213 has 80 divisors (see below), whose sum is σ = 201904651080000. Its totient is φ = 87651349551360.

The previous prime is 133310133021209. The next prime is 133310133021223. The reversal of 133310133021213 is 312120331013331.

133310133021213 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 101 + 330 + 212 + 13 = 666.

It is not a de Polignac number, because 133310133021213 - 2² = 133310133021209 is a prime.

It is a super-2 number, since 2×133310133021213² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133310133021223) 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, 959693638 + ... + 959832536.

It is an arithmetic number, because the mean of its divisors is an integer number (2523808138500).

Almost surely, 2^{133310133021213} is an apocalyptic number.

It is an amenable number.

133310133021213 is a deficient number, since it is larger than the sum of its proper divisors (68594518058787).

133310133021213 is a wasteful number, since it uses less digits than its factorization.

133310133021213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139624 (or 139615 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133310133021213 its reverse (312120331013331), we get a palindrome (445430464034544).

The spelling of 133310133021213 in words is "one hundred thirty-three trillion, three hundred ten billion, one hundred thirty-three million, twenty-one thousand, two hundred thirteen".