110133110123130 has 128 divisors (see below), whose sum is σ = 276064049664000. Its totient is φ = 28066222001664.

The previous prime is 110133110123083. The next prime is 110133110123147. The reversal of 110133110123130 is 31321011331011.

It is a junction number, because it is equal to n+sod(n) for n = 110133110123097 and 110133110123106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5839807641 + ... + 5839826499.

It is an arithmetic number, because the mean of its divisors is an integer number (2156750388000).

Almost surely, 2^{110133110123130} is an apocalyptic number.

110133110123130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110133110123130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138032024832000).

110133110123130 is an abundant number, since it is smaller than the sum of its proper divisors (165930939540870).

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

110133110123130 is a wasteful number, since it uses less digits than its factorization.

110133110123130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26188.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 110133110123130 its reverse (31321011331011), we get a palindrome (141454121454141).

The spelling of 110133110123130 in words is "one hundred ten trillion, one hundred thirty-three billion, one hundred ten million, one hundred twenty-three thousand, one hundred thirty".