110013300320 has 192 divisors, whose sum is σ = 335214028800. Its totient is φ = 33107343360.

The previous prime is 110013300311. The next prime is 110013300323. The reversal of 110013300320 is 23003310011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 110013300295 and 110013300304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110013300323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203321 + ... + 511239.

It is an arithmetic number, because the mean of its divisors is an integer number (1745906400).

Almost surely, 2^110013300320 is an apocalyptic number.

110013300320 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 110013300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167607014400).

110013300320 is an abundant number, since it is smaller than the sum of its proper divisors (225200728480).

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

110013300320 is a wasteful number, since it uses less digits than its factorization.

110013300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307981 (or 307973 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 110013300320 its reverse (23003310011), we get a palindrome (133016610331).

The spelling of 110013300320 in words is "one hundred ten billion, thirteen million, three hundred thousand, three hundred twenty".