133312120221120 has 224 divisors, whose sum is σ = 431309243584512. Its totient is φ = 34874526855168.

The previous prime is 133312120221017. The next prime is 133312120221191. The reversal of 133312120221120 is 21122021213331.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 392776609 + ... + 393115871.

Almost surely, 2^{133312120221120} is an apocalyptic number.

133312120221120 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 133312120221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215654621792256).

133312120221120 is an abundant number, since it is smaller than the sum of its proper divisors (297997123363392).

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

133312120221120 is a wasteful number, since it uses less digits than its factorization.

133312120221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347059 (or 347049 counting only the distinct ones).

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

Adding to 133312120221120 its reverse (21122021213331), we get a palindrome (154434141434451).

The spelling of 133312120221120 in words is "one hundred thirty-three trillion, three hundred twelve billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty".