233121331210100 has 144 divisors (see below), whose sum is σ = 535546150977600. Its totient is φ = 87836507320320.

The previous prime is 233121331210069. The next prime is 233121331210109. The reversal of 233121331210100 is 1012133121332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233121331210109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232232066 + ... + 233233734.

It is an arithmetic number, because the mean of its divisors is an integer number (3719070492900).

Almost surely, 2^{233121331210100} is an apocalyptic number.

233121331210100 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 233121331210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267773075488800).

233121331210100 is an abundant number, since it is smaller than the sum of its proper divisors (302424819767500).

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

233121331210100 is a wasteful number, since it uses less digits than its factorization.

233121331210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002402 (or 1002395 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 233121331210100 its reverse (1012133121332), we get a palindrome (234133464331432).

The spelling of 233121331210100 in words is "two hundred thirty-three trillion, one hundred twenty-one billion, three hundred thirty-one million, two hundred ten thousand, one hundred".