3001131120300 has 288 divisors, whose sum is σ = 9225049559040. Its totient is φ = 751964083200.

The previous prime is 3001131120293. The next prime is 3001131120311. The reversal of 3001131120300 is 30211311003.

It is a super-3 number, since 3×3001131120300³ (a number of 38 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3001131120300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167567746 + ... + 167585654.

It is an arithmetic number, because the mean of its divisors is an integer number (32031422080).

Almost surely, 2^{3001131120300} is an apocalyptic number.

3001131120300 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 3001131120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612524779520).

3001131120300 is an abundant number, since it is smaller than the sum of its proper divisors (6223918438740).

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

3001131120300 is a wasteful number, since it uses less digits than its factorization.

3001131120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18481 (or 18474 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 3001131120300 its reverse (30211311003), we get a palindrome (3031342431303).

The spelling of 3001131120300 in words is "three trillion, one billion, one hundred thirty-one million, one hundred twenty thousand, three hundred".