3305313000000 has 1568 divisors, whose sum is σ = 13715824435200. Its totient is φ = 773280000000.

The previous prime is 3305312999981. The next prime is 3305313000023. The reversal of 3305313000000 is 3135033.

3305313000000 is a `hidden beast` number, since 330 + 5 + 31 + 300 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9206999821 + ... + 9207000179.

Almost surely, 2^{3305313000000} is an apocalyptic number.

3305313000000 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 3305313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6857912217600).

3305313000000 is an abundant number, since it is smaller than the sum of its proper divisors (10410511435200).

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

3305313000000 is an equidigital number, since it uses as much as digits as its factorization.

3305313000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

Adding to 3305313000000 its reverse (3135033), we get a palindrome (3305316135033).

The spelling of 3305313000000 in words is "three trillion, three hundred five billion, three hundred thirteen million", and thus it is an aban number.