233213231322000 has 1280 divisors, whose sum is σ = 886907531427840. Its totient is φ = 58476204288000.

The previous prime is 233213231321951. The next prime is 233213231322023. The reversal of 233213231322000 is 223132312332.

233213231322000 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 1 + 323 + 132 + 200 + 0 = 666.

It is a super-2 number, since 2×233213231322000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53452491819 + ... + 53452496181.

It is an arithmetic number, because the mean of its divisors is an integer number (692896508928).

Almost surely, 2^{233213231322000} is an apocalyptic number.

233213231322000 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 233213231322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443453765713920).

233213231322000 is an abundant number, since it is smaller than the sum of its proper divisors (653694300105840).

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

233213231322000 is a wasteful number, since it uses less digits than its factorization.

233213231322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 233213231322000 its reverse (223132312332), we get a palindrome (233436363634332).

The spelling of 233213231322000 in words is "two hundred thirty-three trillion, two hundred thirteen billion, two hundred thirty-one million, three hundred twenty-two thousand".