110313312003312 has 320 divisors, whose sum is σ = 348290365847040. Its totient is φ = 29651573145600.

The previous prime is 110313312003299. The next prime is 110313312003317. The reversal of 110313312003312 is 213300213313011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110313312003317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31239262 + ... + 34590722.

It is an arithmetic number, because the mean of its divisors is an integer number (1088407393272).

Almost surely, 2^{110313312003312} is an apocalyptic number.

110313312003312 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 110313312003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174145182923520).

110313312003312 is an abundant number, since it is smaller than the sum of its proper divisors (237977053843728).

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

110313312003312 is a wasteful number, since it uses less digits than its factorization.

110313312003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351712 (or 3351706 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 110313312003312 its reverse (213300213313011), we get a palindrome (323613525316323).

The spelling of 110313312003312 in words is "one hundred ten trillion, three hundred thirteen billion, three hundred twelve million, three thousand, three hundred twelve".