133212031133120 has 224 divisors, whose sum is σ = 345745086398208. Its totient is φ = 48682272817152.

The previous prime is 133212031133029. The next prime is 133212031133141. The reversal of 133212031133120 is 21331130212331.

It is a super-2 number, since 2×133212031133120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133212031133120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86390009 + ... + 87918471.

It is an arithmetic number, because the mean of its divisors is an integer number (1543504849992).

Almost surely, 2^{133212031133120} is an apocalyptic number.

133212031133120 is a gapful number since it is divisible by the number (10) 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 133212031133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172872543199104).

133212031133120 is an abundant number, since it is smaller than the sum of its proper divisors (212533055265088).

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

133212031133120 is a wasteful number, since it uses less digits than its factorization.

133212031133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528967 (or 1528957 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 133212031133120 its reverse (21331130212331), we get a palindrome (154543161345451).

The spelling of 133212031133120 in words is "one hundred thirty-three trillion, two hundred twelve billion, thirty-one million, one hundred thirty-three thousand, one hundred twenty".