3005113020000 has 960 divisors, whose sum is σ = 12169821210624. Its totient is φ = 632079360000.

The previous prime is 3005113019999. The next prime is 3005113020037. The reversal of 3005113020000 is 203115003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2353259362 + ... + 2353260638.

Almost surely, 2^{3005113020000} is an apocalyptic number.

3005113020000 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 3005113020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084910605312).

3005113020000 is an abundant number, since it is smaller than the sum of its proper divisors (9164708190624).

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

3005113020000 is a wasteful number, since it uses less digits than its factorization.

3005113020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 3005113020000 its reverse (203115003), we get a palindrome (3005316135003).

The spelling of 3005113020000 in words is "three trillion, five billion, one hundred thirteen million, twenty thousand".