3313320122112 has 576 divisors, whose sum is σ = 12016807993344. Its totient is φ = 782533509120.

The previous prime is 3313320122027. The next prime is 3313320122113. The reversal of 3313320122112 is 2112210233133.

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 (3313320122113) 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, 51475293 + ... + 51539619.

Almost surely, 2^{3313320122112} is an apocalyptic number.

3313320122112 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 3313320122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008403996672).

3313320122112 is an abundant number, since it is smaller than the sum of its proper divisors (8703487871232).

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

3313320122112 is a wasteful number, since it uses less digits than its factorization.

3313320122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64444 (or 64430 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3313320122112 its reverse (2112210233133), we get a palindrome (5425530355245).

The spelling of 3313320122112 in words is "three trillion, three hundred thirteen billion, three hundred twenty million, one hundred twenty-two thousand, one hundred twelve".