233203311011320 has 256 divisors, whose sum is σ = 599044510310400. Its totient is φ = 80995286292480.

The previous prime is 233203311011311. The next prime is 233203311011347. The reversal of 233203311011320 is 23110113302332.

It is a super-2 number, since 2×233203311011320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 784353009 + ... + 784650271.

It is an arithmetic number, because the mean of its divisors is an integer number (2340017618400).

Almost surely, 2^{233203311011320} is an apocalyptic number.

233203311011320 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 233203311011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299522255155200).

233203311011320 is an abundant number, since it is smaller than the sum of its proper divisors (365841199299080).

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

233203311011320 is a wasteful number, since it uses less digits than its factorization.

233203311011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297870 (or 297866 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 233203311011320 its reverse (23110113302332), we get a palindrome (256313424313652).

The spelling of 233203311011320 in words is "two hundred thirty-three trillion, two hundred three billion, three hundred eleven million, eleven thousand, three hundred twenty".