133031202012 has 192 divisors, whose sum is σ = 366702336000. Its totient is φ = 41633899776.

The previous prime is 133031202011. The next prime is 133031202053. The reversal of 133031202012 is 210202130331.

133031202012 is a `hidden beast` number, since 1 + 330 + 312 + 0 + 20 + 1 + 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 (133031202011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32185498 + ... + 32189630.

It is an arithmetic number, because the mean of its divisors is an integer number (1909908000).

Almost surely, 2^133031202012 is an apocalyptic number.

133031202012 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 133031202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183351168000).

133031202012 is an abundant number, since it is smaller than the sum of its proper divisors (233671133988).

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

133031202012 is a wasteful number, since it uses less digits than its factorization.

133031202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4449 counting only the distinct ones).

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

Adding to 133031202012 its reverse (210202130331), we get a palindrome (343233332343).

The spelling of 133031202012 in words is "one hundred thirty-three billion, thirty-one million, two hundred two thousand, twelve".