233010013320 has 192 divisors, whose sum is σ = 865667088000. Its totient is φ = 53247043584.

The previous prime is 233010013277. The next prime is 233010013349. The reversal of 233010013320 is 23310010332.

233010013320 is a `hidden beast` number, since 2 + 330 + 1 + 0 + 0 + 1 + 332 + 0 = 666.

233010013320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 233010013293 and 233010013302.

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, 14958496 + ... + 14974064.

It is an arithmetic number, because the mean of its divisors is an integer number (4508682750).

Almost surely, 2^233010013320 is an apocalyptic number.

233010013320 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 233010013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432833544000).

233010013320 is an abundant number, since it is smaller than the sum of its proper divisors (632657074680).

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

233010013320 is a wasteful number, since it uses less digits than its factorization.

233010013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21532 (or 21525 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 233010013320 its reverse (23310010332), we get a palindrome (256320023652).

The spelling of 233010013320 in words is "two hundred thirty-three billion, ten million, thirteen thousand, three hundred twenty".