110131013133312 has 176 divisors, whose sum is σ = 303791306352960. Its totient is φ = 35429294702592.

The previous prime is 110131013133289. The next prime is 110131013133391. The reversal of 110131013133312 is 213331310131011.

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 15 ways as a sum of consecutive naturals, for example, 208826178 + ... + 209352894.

Almost surely, 2^{110131013133312} is an apocalyptic number.

110131013133312 is a gapful number since it is divisible by the number (12) 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 110131013133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151895653176480).

110131013133312 is an abundant number, since it is smaller than the sum of its proper divisors (193660293219648).

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

110131013133312 is a wasteful number, since it uses less digits than its factorization.

110131013133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529116 (or 529098 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 110131013133312 its reverse (213331310131011), we get a palindrome (323462323264323).

The spelling of 110131013133312 in words is "one hundred ten trillion, one hundred thirty-one billion, thirteen million, one hundred thirty-three thousand, three hundred twelve".