233303132100000 has 288 divisors, whose sum is σ = 776902003964352. Its totient is φ = 61285593600000.

The previous prime is 233303132099971. The next prime is 233303132100079. The reversal of 233303132100000 is 1231303332.

It is a self number, because there is not a number n which added to its sum of digits gives 233303132100000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14296440 + ... + 25903560.

It is an arithmetic number, because the mean of its divisors is an integer number (2697576402654).

Almost surely, 2^{233303132100000} is an apocalyptic number.

233303132100000 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 233303132100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388451001982176).

233303132100000 is an abundant number, since it is smaller than the sum of its proper divisors (543598871864352).

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

233303132100000 is an equidigital number, since it uses as much as digits as its factorization.

233303132100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11607226 (or 11607198 counting only the distinct ones).

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

Adding to 233303132100000 its reverse (1231303332), we get a palindrome (233304363403332).

The spelling of 233303132100000 in words is "two hundred thirty-three trillion, three hundred three billion, one hundred thirty-two million, one hundred thousand".