133001123001012 has 168 divisors, whose sum is σ = 399768269704832. Its totient is φ = 37910056363200.

The previous prime is 133001123000983. The next prime is 133001123001017. The reversal of 133001123001012 is 210100321100331.

133001123001012 is a `hidden beast` number, since 1 + 330 + 0 + 1 + 1 + 230 + 0 + 101 + 2 = 666.

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 (133001123001017) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 854937 + ... + 16331967.

Almost surely, 2^{133001123001012} is an apocalyptic number.

133001123001012 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 133001123001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199884134852416).

133001123001012 is an abundant number, since it is smaller than the sum of its proper divisors (266767146703820).

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

133001123001012 is a wasteful number, since it uses less digits than its factorization.

133001123001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15477481 (or 15477464 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133001123001012 its reverse (210100321100331), we get a palindrome (343101444101343).

The spelling of 133001123001012 in words is "one hundred thirty-three trillion, one billion, one hundred twenty-three million, one thousand, twelve".