233001203113300 has 72 divisors (see below), whose sum is σ = 511073974434296. Its totient is φ = 92194714460160.

The previous prime is 233001203113279. The next prime is 233001203113307. The reversal of 233001203113300 is 3311302100332.

It can be written as a sum of positive squares in 12 ways, for example, as 13718297407684 + 219282905705616 = 3703822^2 + 14808204^2 .

It is a super-2 number, since 2×233001203113300² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233001203113307) 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, 14063944 + ... + 25764256.

Almost surely, 2^{233001203113300} is an apocalyptic number.

233001203113300 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 233001203113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255536987217148).

233001203113300 is an abundant number, since it is smaller than the sum of its proper divisors (278072771320996).

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

233001203113300 is a wasteful number, since it uses less digits than its factorization.

233001203113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11702477 (or 11702470 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 233001203113300 its reverse (3311302100332), we get a palindrome (236312505213632).

The spelling of 233001203113300 in words is "two hundred thirty-three trillion, one billion, two hundred three million, one hundred thirteen thousand, three hundred".