133301333312 has 224 divisors, whose sum is σ = 340174356480. Its totient is φ = 50503495680.

The previous prime is 133301333311. The next prime is 133301333357. The reversal of 133301333312 is 213333103331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133301333311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8018513 + ... + 8035119.

It is an arithmetic number, because the mean of its divisors is an integer number (1518635520).

Almost surely, 2^133301333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133301333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170087178240).

133301333312 is an abundant number, since it is smaller than the sum of its proper divisors (206873023168).

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

133301333312 is a wasteful number, since it uses less digits than its factorization.

133301333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16709 (or 16699 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 133301333312 its reverse (213333103331), we get a palindrome (346634436643).

The spelling of 133301333312 in words is "one hundred thirty-three billion, three hundred one million, three hundred thirty-three thousand, three hundred twelve".