3133312221330 has 160 divisors (see below), whose sum is σ = 8672581336320. Its totient is φ = 811112227200.

The previous prime is 3133312221329. The next prime is 3133312221349. The reversal of 3133312221330 is 331222133313.

3133312221330 is a `hidden beast` number, since 3 + 13 + 3 + 312 + 2 + 2 + 1 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3133312221294 and 3133312221303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13037755 + ... + 13275905.

It is an arithmetic number, because the mean of its divisors is an integer number (54203633352).

Almost surely, 2^{3133312221330} is an apocalyptic number.

3133312221330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133312221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336290668160).

3133312221330 is an abundant number, since it is smaller than the sum of its proper divisors (5539269114990).

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

3133312221330 is a wasteful number, since it uses less digits than its factorization.

3133312221330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238646 (or 238637 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3133312221330 its reverse (331222133313), we get a palindrome (3464534354643).

The spelling of 3133312221330 in words is "three trillion, one hundred thirty-three billion, three hundred twelve million, two hundred twenty-one thousand, three hundred thirty".