230033313000 has 192 divisors, whose sum is σ = 779483175120. Its totient is φ = 61186752000.

The previous prime is 230033312989. The next prime is 230033313011. The reversal of 230033313000 is 313330032.

230033313000 is a `hidden beast` number, since 2 + 30 + 0 + 3 + 331 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230033312989) and next prime (230033313011).

It can be written as a sum of positive squares in 8 ways, for example, as 34264231236 + 195769081764 = 185106^2 + 442458^2 .

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

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, 3540810 + ... + 3605190.

Almost surely, 2^230033313000 is an apocalyptic number.

230033313000 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 230033313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389741587560).

230033313000 is an abundant number, since it is smaller than the sum of its proper divisors (549449862120).

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

230033313000 is a wasteful number, since it uses less digits than its factorization.

230033313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64805 (or 64788 counting only the distinct ones).

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

Adding to 230033313000 its reverse (313330032), we get a palindrome (230346643032).

The spelling of 230033313000 in words is "two hundred thirty billion, thirty-three million, three hundred thirteen thousand".