133213123320312 has 64 divisors (see below), whose sum is σ = 380662511431680. Its totient is φ = 38055533611392.

The previous prime is 133213123320301. The next prime is 133213123320317. The reversal of 133213123320312 is 213023321312331.

It is a super-2 number, since 2×133213123320312² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133213123320312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133213123320317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54623623 + ... + 57010230.

It is an arithmetic number, because the mean of its divisors is an integer number (5947851741120).

Almost surely, 2^{133213123320312} is an apocalyptic number.

133213123320312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133213123320312 is an abundant number, since it is smaller than the sum of its proper divisors (247449388111368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133213123320312 is a wasteful number, since it uses less digits than its factorization.

133213123320312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111640972 (or 111640968 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 133213123320312 its reverse (213023321312331), we get a palindrome (346236444632643).

The spelling of 133213123320312 in words is "one hundred thirty-three trillion, two hundred thirteen billion, one hundred twenty-three million, three hundred twenty thousand, three hundred twelve".