3303111101312 has 128 divisors (see below), whose sum is σ = 7585576473600. Its totient is φ = 1417955235840.

The previous prime is 3303111101293. The next prime is 3303111101371. The reversal of 3303111101312 is 2131011113033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×3303111101312⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1912778 + ... + 3203894.

It is an arithmetic number, because the mean of its divisors is an integer number (59262316200).

Almost surely, 2^{3303111101312} is an apocalyptic number.

3303111101312 is a gapful number since it is divisible by the number (32) 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 3303111101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792788236800).

3303111101312 is an abundant number, since it is smaller than the sum of its proper divisors (4282465372288).

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

3303111101312 is a wasteful number, since it uses less digits than its factorization.

3303111101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291244 (or 1291232 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 3303111101312 its reverse (2131011113033), we get a palindrome (5434122214345).

The spelling of 3303111101312 in words is "three trillion, three hundred three billion, one hundred eleven million, one hundred one thousand, three hundred twelve".