23303313000 has 384 divisors, whose sum is σ = 86286695040. Its totient is φ = 5625600000.

The previous prime is 23303312987. The next prime is 23303313001. The reversal of 23303313000 is 31330332.

23303313000 is a `hidden beast` number, since 2 + 3 + 30 + 331 + 300 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23303313001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39698707 + ... + 39699293.

It is an arithmetic number, because the mean of its divisors is an integer number (224704935).

Almost surely, 2^23303313000 is an apocalyptic number.

23303313000 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 23303313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43143347520).

23303313000 is an abundant number, since it is smaller than the sum of its proper divisors (62983382040).

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

23303313000 is a wasteful number, since it uses less digits than its factorization.

23303313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 23303313000 its reverse (31330332), we get a palindrome (23334643332).

The spelling of 23303313000 in words is "twenty-three billion, three hundred three million, three hundred thirteen thousand".