133104312 has 96 divisors (see below), whose sum is σ = 410417280. Its totient is φ = 38575680.

The previous prime is 133104311. The next prime is 133104313. The reversal of 133104312 is 213401331.

It is an interprime number because it is at equal distance from previous prime (133104311) and next prime (133104313).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133104311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14563 + ... + 21869.

It is an arithmetic number, because the mean of its divisors is an integer number (4275180).

Almost surely, 2^133104312 is an apocalyptic number.

133104312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133104312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205208640).

133104312 is an abundant number, since it is smaller than the sum of its proper divisors (277312968).

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

133104312 is a wasteful number, since it uses less digits than its factorization.

133104312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7353 (or 7346 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133104312 is about 11537.0842070256. The cubic root of 133104312 is about 510.5802852828.

Adding to 133104312 its reverse (213401331), we get a palindrome (346505643).

The spelling of 133104312 in words is "one hundred thirty-three million, one hundred four thousand, three hundred twelve".