110313313000000 has 784 divisors, whose sum is σ = 312423620926464. Its totient is φ = 38253600000000.

The previous prime is 110313312999943. The next prime is 110313313000031. The reversal of 110313313000000 is 313313011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 159642999655 + ... + 159643000345.

Almost surely, 2^{110313313000000} is an apocalyptic number.

110313313000000 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 110313313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156211810463232).

110313313000000 is an abundant number, since it is smaller than the sum of its proper divisors (202110307926464).

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

110313313000000 is an frugal number, since it uses more digits than its factorization.

110313313000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 110313313000000 its reverse (313313011), we get a palindrome (110313626313011).

The spelling of 110313313000000 in words is "one hundred ten trillion, three hundred thirteen billion, three hundred thirteen million", and thus it is an aban number.