3320131102002 has 192 divisors, whose sum is σ = 8823626203392. Its totient is φ = 887832000000.

The previous prime is 3320131101949. The next prime is 3320131102091. The reversal of 3320131102002 is 2002011310233.

3320131102002 is a `hidden beast` number, since 3 + 320 + 131 + 10 + 200 + 2 = 666.

It is a super-2 number, since 2×3320131102002² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 112528252 + ... + 112557752.

It is an arithmetic number, because the mean of its divisors is an integer number (45956386476).

Almost surely, 2^{3320131102002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320131102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411813101696).

3320131102002 is an abundant number, since it is smaller than the sum of its proper divisors (5503495101390).

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

3320131102002 is a wasteful number, since it uses less digits than its factorization.

3320131102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31457 (or 31454 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3320131102002 its reverse (2002011310233), we get a palindrome (5322142412235).

The spelling of 3320131102002 in words is "three trillion, three hundred twenty billion, one hundred thirty-one million, one hundred two thousand, two".