332133123300000 has 2304 divisors, whose sum is σ = 1306824897853440. Its totient is φ = 72969984000000.

The previous prime is 332133123299977. The next prime is 332133123300001. The reversal of 332133123300000 is 3321331233.

It is a super-2 number, since 2×332133123300000² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (332133123300001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 141513898827 + ... + 141513901173.

It is an arithmetic number, because the mean of its divisors is an integer number (567198306360).

Almost surely, 2^{332133123300000} is an apocalyptic number.

332133123300000 is a gapful number since it is divisible by the number (30) 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 332133123300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653412448926720).

332133123300000 is an abundant number, since it is smaller than the sum of its proper divisors (974691774553440).

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

332133123300000 is a wasteful number, since it uses less digits than its factorization.

332133123300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 332133123300000 its reverse (3321331233), we get a palindrome (332136444631233).

332133123300000 divided by its reverse (3321331233) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 33213 and 3123300000, that added together give a palindrome (3123333213).

The spelling of 332133123300000 in words is "three hundred thirty-two trillion, one hundred thirty-three billion, one hundred twenty-three million, three hundred thousand".