233133231120330 has 128 divisors (see below), whose sum is σ = 579057643929600. Its totient is φ = 60031162566144.

The previous prime is 233133231120233. The next prime is 233133231120347. The reversal of 233133231120330 is 33021132331332.

233133231120330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×233133231120330³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 729917127 + ... + 730236453.

It is an arithmetic number, because the mean of its divisors is an integer number (4523887843200).

Almost surely, 2^{233133231120330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233133231120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289528821964800).

233133231120330 is an abundant number, since it is smaller than the sum of its proper divisors (345924412809270).

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

233133231120330 is a wasteful number, since it uses less digits than its factorization.

233133231120330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325828.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 233133231120330 its reverse (33021132331332), we get a palindrome (266154363451662).

The spelling of 233133231120330 in words is "two hundred thirty-three trillion, one hundred thirty-three billion, two hundred thirty-one million, one hundred twenty thousand, three hundred thirty".