110201321313312 has 192 divisors, whose sum is σ = 303793657574400. Its totient is φ = 34932111441920.

The previous prime is 110201321313301. The next prime is 110201321313397. The reversal of 110201321313312 is 213313123102011.

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 31 ways as a sum of consecutive naturals, for example, 62813137 + ... + 64543727.

It is an arithmetic number, because the mean of its divisors is an integer number (1582258633200).

Almost surely, 2^{110201321313312} is an apocalyptic number.

110201321313312 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 110201321313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151896828787200).

110201321313312 is an abundant number, since it is smaller than the sum of its proper divisors (193592336261088).

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

110201321313312 is a wasteful number, since it uses less digits than its factorization.

110201321313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730979 (or 1730971 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 110201321313312 its reverse (213313123102011), we get a palindrome (323514444415323).

The spelling of 110201321313312 in words is "one hundred ten trillion, two hundred one billion, three hundred twenty-one million, three hundred thirteen thousand, three hundred twelve".