110111110130320 has 80 divisors (see below), whose sum is σ = 285208220349360. Its totient is φ = 39254464714752.

The previous prime is 110111110130311. The next prime is 110111110130383. The reversal of 110111110130320 is 23031011111011.

It can be written as a sum of positive squares in 8 ways, for example, as 2657734625536 + 107453375504784 = 1630256^2 + 10365972^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 110111110130294 and 110111110130303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1825419279 + ... + 1825479598.

It is an arithmetic number, because the mean of its divisors is an integer number (3565102754367).

Almost surely, 2^{110111110130320} is an apocalyptic number.

110111110130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110111110130320 is an abundant number, since it is smaller than the sum of its proper divisors (175097110219040).

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

110111110130320 is a wasteful number, since it uses less digits than its factorization.

110111110130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650898932 (or 3650898926 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 110111110130320 its reverse (23031011111011), we get a palindrome (133142121241331).

The spelling of 110111110130320 in words is "one hundred ten trillion, one hundred eleven billion, one hundred ten million, one hundred thirty thousand, three hundred twenty".