110130230110320 has 480 divisors, whose sum is σ = 425052442938240. Its totient is φ = 25032310087680.

The previous prime is 110130230110301. The next prime is 110130230110331. The reversal of 110130230110320 is 23011032031011.

110130230110320 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 3 + 0 + 230 + 110 + 320 = 666.

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 = 110130230110293 and 110130230110302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 710527230 + ... + 710682210.

It is an arithmetic number, because the mean of its divisors is an integer number (885525922788).

Almost surely, 2^{110130230110320} is an apocalyptic number.

110130230110320 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 110130230110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212526221469120).

110130230110320 is an abundant number, since it is smaller than the sum of its proper divisors (314922212827920).

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

110130230110320 is a wasteful number, since it uses less digits than its factorization.

110130230110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155793 (or 155784 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110130230110320 its reverse (23011032031011), we get a palindrome (133141262141331).

The spelling of 110130230110320 in words is "one hundred ten trillion, one hundred thirty billion, two hundred thirty million, one hundred ten thousand, three hundred twenty".