133103123332312 has 384 divisors, whose sum is σ = 335233736294400. Its totient is φ = 49097702707200.

The previous prime is 133103123332307. The next prime is 133103123332327. The reversal of 133103123332312 is 213233321301331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281337637 + ... + 281810347.

It is an arithmetic number, because the mean of its divisors is an integer number (873004521600).

Almost surely, 2^{133103123332312} 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 133103123332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167616868147200).

133103123332312 is an abundant number, since it is smaller than the sum of its proper divisors (202130612962088).

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

133103123332312 is a wasteful number, since it uses less digits than its factorization.

133103123332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472855 (or 472844 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 133103123332312 its reverse (213233321301331), we get a palindrome (346336444633643).

The spelling of 133103123332312 in words is "one hundred thirty-three trillion, one hundred three billion, one hundred twenty-three million, three hundred thirty-two thousand, three hundred twelve".