3311321311320 has 256 divisors, whose sum is σ = 10924708032000. Its totient is φ = 796275671040.

The previous prime is 3311321311307. The next prime is 3311321311327. The reversal of 3311321311320 is 231131231133.

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 (3311321311327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88892619 + ... + 88929861.

It is an arithmetic number, because the mean of its divisors is an integer number (42674640750).

Almost surely, 2^{3311321311320} is an apocalyptic number.

3311321311320 is a gapful number since it is divisible by the number (30) 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 3311321311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462354016000).

3311321311320 is an abundant number, since it is smaller than the sum of its proper divisors (7613386720680).

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

3311321311320 is a wasteful number, since it uses less digits than its factorization.

3311321311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37810 (or 37806 counting only the distinct ones).

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

Adding to 3311321311320 its reverse (231131231133), we get a palindrome (3542452542453).

The spelling of 3311321311320 in words is "three trillion, three hundred eleven billion, three hundred twenty-one million, three hundred eleven thousand, three hundred twenty".