233121301020 has 192 divisors, whose sum is σ = 758083092480. Its totient is φ = 59361984000.

The previous prime is 233121301003. The next prime is 233121301027. The reversal of 233121301020 is 20103121332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 233121300984 and 233121301002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233121301027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7448805 + ... + 7480035.

It is an arithmetic number, because the mean of its divisors is an integer number (3948349440).

Almost surely, 2^233121301020 is an apocalyptic number.

233121301020 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 233121301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379041546240).

233121301020 is an abundant number, since it is smaller than the sum of its proper divisors (524961791460).

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

233121301020 is a wasteful number, since it uses less digits than its factorization.

233121301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31873 (or 31865 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233121301020 its reverse (20103121332), we get a palindrome (253224422352).

The spelling of 233121301020 in words is "two hundred thirty-three billion, one hundred twenty-one million, three hundred one thousand, twenty".