233033000110320 has 160 divisors (see below), whose sum is σ = 725176261320192. Its totient is φ = 61903530812416.

The previous prime is 233033000110259. The next prime is 233033000110349. The reversal of 233033000110320 is 23011000330332.

It is a super-2 number, since 2×233033000110320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2277507802 + ... + 2277610118.

Almost surely, 2^{233033000110320} is an apocalyptic number.

233033000110320 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 233033000110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362588130660096).

233033000110320 is an abundant number, since it is smaller than the sum of its proper divisors (492143261209872).

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

233033000110320 is a wasteful number, since it uses less digits than its factorization.

233033000110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138679 (or 138673 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 233033000110320 its reverse (23011000330332), we get a palindrome (256044000440652).

The spelling of 233033000110320 in words is "two hundred thirty-three trillion, thirty-three billion, one hundred ten thousand, three hundred twenty".