233001323003220 has 192 divisors, whose sum is σ = 692724087014400. Its totient is φ = 58314337044480.

The previous prime is 233001323003219. The next prime is 233001323003227. The reversal of 233001323003220 is 22300323100332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233001323003227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1013203011 + ... + 1013432949.

It is an arithmetic number, because the mean of its divisors is an integer number (3607937953200).

Almost surely, 2^{233001323003220} is an apocalyptic number.

233001323003220 is a gapful number since it is divisible by the number (20) 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 233001323003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346362043507200).

233001323003220 is an abundant number, since it is smaller than the sum of its proper divisors (459722764011180).

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

233001323003220 is a wasteful number, since it uses less digits than its factorization.

233001323003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232758 (or 232756 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 233001323003220 its reverse (22300323100332), we get a palindrome (255301646103552).

The spelling of 233001323003220 in words is "two hundred thirty-three trillion, one billion, three hundred twenty-three million, three thousand, two hundred twenty".