330133132032 has 216 divisors, whose sum is σ = 996935654400. Its totient is φ = 96812390400.

The previous prime is 330133131941. The next prime is 330133132039. The reversal of 330133132032 is 230231331033.

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

It is a junction number, because it is equal to n+sod(n) for n = 330133131993 and 330133132011.

It is not an unprimeable number, because it can be changed into a prime (330133132039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2823469 + ... + 2938067.

Almost surely, 2^330133132032 is an apocalyptic number.

330133132032 is a gapful number since it is divisible by the number (32) 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 330133132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498467827200).

330133132032 is an abundant number, since it is smaller than the sum of its proper divisors (666802522368).

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

330133132032 is a wasteful number, since it uses less digits than its factorization.

330133132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114671 (or 114646 counting only the distinct ones).

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

Adding to 330133132032 its reverse (230231331033), we get a palindrome (560364463065).

The spelling of 330133132032 in words is "three hundred thirty billion, one hundred thirty-three million, one hundred thirty-two thousand, thirty-two".