101233300320 has 144 divisors (see below), whose sum is σ = 360478696032. Its totient is φ = 25821818880.

The previous prime is 101233300307. The next prime is 101233300321. The reversal of 101233300320 is 23003332101.

101233300320 is a `hidden beast` number, since 1 + 0 + 12 + 3 + 330 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 101233300293 and 101233300302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101233300321) 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 23 ways as a sum of consecutive naturals, for example, 1495161 + ... + 1561400.

It is an arithmetic number, because the mean of its divisors is an integer number (2503324278).

Almost surely, 2^101233300320 is an apocalyptic number.

101233300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101233300320 is an abundant number, since it is smaller than the sum of its proper divisors (259245395712).

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

101233300320 is a wasteful number, since it uses less digits than its factorization.

101233300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056605 (or 3056594 counting only the distinct ones).

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

Adding to 101233300320 its reverse (23003332101), we get a palindrome (124236632421).

The spelling of 101233300320 in words is "one hundred one billion, two hundred thirty-three million, three hundred thousand, three hundred twenty".