110320023133320 has 1024 divisors, whose sum is σ = 453318056755200. Its totient is φ = 20734998036480.

The previous prime is 110320023133301. The next prime is 110320023133357. The reversal of 110320023133320 is 23331320023011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5277701989 + ... + 5277722891.

It is an arithmetic number, because the mean of its divisors is an integer number (442693414800).

Almost surely, 2^{110320023133320} is an apocalyptic number.

110320023133320 is a gapful number since it is divisible by the number (10) 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 110320023133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226659028377600).

110320023133320 is an abundant number, since it is smaller than the sum of its proper divisors (342998033621880).

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

110320023133320 is a wasteful number, since it uses less digits than its factorization.

110320023133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21830 (or 21826 counting only the distinct ones).

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

Adding to 110320023133320 its reverse (23331320023011), we get a palindrome (133651343156331).

The spelling of 110320023133320 in words is "one hundred ten trillion, three hundred twenty billion, twenty-three million, one hundred thirty-three thousand, three hundred twenty".