133213243120 has 80 divisors (see below), whose sum is σ = 314819091360. Its totient is φ = 52410580992.

The previous prime is 133213243109. The next prime is 133213243171. The reversal of 133213243120 is 21342312331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3588816 + ... + 3625744.

It is an arithmetic number, because the mean of its divisors is an integer number (3935238642).

Almost surely, 2^133213243120 is an apocalyptic number.

133213243120 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 133213243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157409545680).

133213243120 is an abundant number, since it is smaller than the sum of its proper divisors (181605848240).

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

133213243120 is a wasteful number, since it uses less digits than its factorization.

133213243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37682 (or 37676 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 133213243120 its reverse (21342312331), we get a palindrome (154555555451).

The spelling of 133213243120 in words is "one hundred thirty-three billion, two hundred thirteen million, two hundred forty-three thousand, one hundred twenty".