233133322103000 has 256 divisors, whose sum is σ = 610310308608000. Its totient is φ = 82627687680000.

The previous prime is 233133322102969. The next prime is 233133322103021. The reversal of 233133322103000 is 301223331332.

It is a happy number.

It is a super-2 number, since 2×233133322103000² (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, 123661451 + ... + 125532549.

It is an arithmetic number, because the mean of its divisors is an integer number (2384024643000).

Almost surely, 2^{233133322103000} is an apocalyptic number.

233133322103000 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 233133322103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305155154304000).

233133322103000 is an abundant number, since it is smaller than the sum of its proper divisors (377176986505000).

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

233133322103000 is a wasteful number, since it uses less digits than its factorization.

233133322103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871419 (or 1871405 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 233133322103000 its reverse (301223331332), we get a palindrome (233434545434332).

The spelling of 233133322103000 in words is "two hundred thirty-three trillion, one hundred thirty-three billion, three hundred twenty-two million, one hundred three thousand".