233013101230200 has 192 divisors, whose sum is σ = 742374713013120. Its totient is φ = 60415778880000.

The previous prime is 233013101230181. The next prime is 233013101230241. The reversal of 233013101230200 is 2032101310332.

233013101230200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28595355 + ... + 35829045.

It is an arithmetic number, because the mean of its divisors is an integer number (3866534963610).

Almost surely, 2^{233013101230200} is an apocalyptic number.

233013101230200 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 233013101230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371187356506560).

233013101230200 is an abundant number, since it is smaller than the sum of its proper divisors (509361611782920).

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

233013101230200 is a wasteful number, since it uses less digits than its factorization.

233013101230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235198 (or 7235189 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 233013101230200 its reverse (2032101310332), we get a palindrome (235045202540532).

It can be divided in two parts, 23301310 and 1230200, that added together give a triangular number (24531510 = T₇₀₀₄).

The spelling of 233013101230200 in words is "two hundred thirty-three trillion, thirteen billion, one hundred one million, two hundred thirty thousand, two hundred".