230033101330032 has 1440 divisors, whose sum is σ = 835675637461056. Its totient is φ = 53991527546880.

The previous prime is 230033101330001. The next prime is 230033101330093.

230033101330032 is nontrivially palindromic in base 10.

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 = 230033101329984 and 230033101330011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37000656588 + ... + 37000662804.

Almost surely, 2^{230033101330032} is an apocalyptic number.

230033101330032 is a gapful number since it is divisible by the number (22) 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 230033101330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417837818730528).

230033101330032 is an abundant number, since it is smaller than the sum of its proper divisors (605642536131024).

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

230033101330032 is a wasteful number, since it uses less digits than its factorization.

230033101330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6463 counting only the distinct ones).

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

It can be divided in two parts, 23003310 and 1330032, that added together give a palindrome (24333342).

The spelling of 230033101330032 in words is "two hundred thirty trillion, thirty-three billion, one hundred one million, three hundred thirty thousand, thirty-two".