230101233133200 has 240 divisors, whose sum is σ = 865953005002176. Its totient is φ = 51491184998400.

The previous prime is 230101233133171. The next prime is 230101233133207. The reversal of 230101233133200 is 2331332101032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (230101233133207) 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, 670286539 + ... + 670629738.

Almost surely, 2^{230101233133200} is an apocalyptic number.

230101233133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230101233133200 is an abundant number, since it is smaller than the sum of its proper divisors (635851771868976).

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

230101233133200 is a wasteful number, since it uses less digits than its factorization.

230101233133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340916322 (or 1340916311 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 230101233133200 its reverse (2331332101032), we get a palindrome (232432565234232).

The spelling of 230101233133200 in words is "two hundred thirty trillion, one hundred one billion, two hundred thirty-three million, one hundred thirty-three thousand, two hundred".