233232221013000 has 512 divisors, whose sum is σ = 809052468756480. Its totient is φ = 55462527360000.

The previous prime is 233232221012977. The next prime is 233232221013059. The reversal of 233232221013000 is 310122232332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 738613149 + ... + 738928851.

It is an arithmetic number, because the mean of its divisors is an integer number (1580180603040).

Almost surely, 2^{233232221013000} is an apocalyptic number.

233232221013000 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 233232221013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404526234378240).

233232221013000 is an abundant number, since it is smaller than the sum of its proper divisors (575820247743480).

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

233232221013000 is a wasteful number, since it uses less digits than its factorization.

233232221013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316166 (or 316152 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 233232221013000 its reverse (310122232332), we get a palindrome (233542343245332).

The spelling of 233232221013000 in words is "two hundred thirty-three trillion, two hundred thirty-two billion, two hundred twenty-one million, thirteen thousand".