133111432212 has 192 divisors, whose sum is σ = 351933168384. Its totient is φ = 38804520960.

The previous prime is 133111432211. The next prime is 133111432219. The reversal of 133111432212 is 212234111331.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133111432211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217147218 + ... + 217147830.

It is an arithmetic number, because the mean of its divisors is an integer number (1832985252).

Almost surely, 2^133111432212 is an apocalyptic number.

133111432212 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 133111432212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175966584192).

133111432212 is an abundant number, since it is smaller than the sum of its proper divisors (218821736172).

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

133111432212 is a wasteful number, since it uses less digits than its factorization.

133111432212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1096 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 133111432212 its reverse (212234111331), we get a palindrome (345345543543).

The spelling of 133111432212 in words is "one hundred thirty-three billion, one hundred eleven million, four hundred thirty-two thousand, two hundred twelve".