3301102201320 has 576 divisors, whose sum is σ = 13621540271040. Its totient is φ = 685601280000.

The previous prime is 3301102201307. The next prime is 3301102201333. The reversal of 3301102201320 is 231022011033.

3301102201320 is a `hidden beast` number, since 3 + 30 + 110 + 2 + 201 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (3301102201307) and next prime (3301102201333).

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

It is a junction number, because it is equal to n+sod(n) for n = 3301102201293 and 3301102201302.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 630821424 + ... + 630826656.

It is an arithmetic number, because the mean of its divisors is an integer number (23648507415).

Almost surely, 2^{3301102201320} is an apocalyptic number.

3301102201320 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 3301102201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6810770135520).

3301102201320 is an abundant number, since it is smaller than the sum of its proper divisors (10320438069720).

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

3301102201320 is a wasteful number, since it uses less digits than its factorization.

3301102201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526 (or 8512 counting only the distinct ones).

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

Adding to 3301102201320 its reverse (231022011033), we get a palindrome (3532124212353).

The spelling of 3301102201320 in words is "three trillion, three hundred one billion, one hundred two million, two hundred one thousand, three hundred twenty".