3000313101120 has 224 divisors, whose sum is σ = 9965965718016. Its totient is φ = 763960934400.

The previous prime is 3000313101119. The next prime is 3000313101187. The reversal of 3000313101120 is 211013130003.

It is a super-2 number, since 2×3000313101120² (a number of 26 digits) contains 22 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 3000313101120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1038990 + ... + 2660850.

It is an arithmetic number, because the mean of its divisors is an integer number (44490918384).

Almost surely, 2^{3000313101120} is an apocalyptic number.

3000313101120 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 3000313101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982982859008).

3000313101120 is an abundant number, since it is smaller than the sum of its proper divisors (6965652616896).

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

3000313101120 is a wasteful number, since it uses less digits than its factorization.

3000313101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621969 (or 1621959 counting only the distinct ones).

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

Adding to 3000313101120 its reverse (211013130003), we get a palindrome (3211326231123).

The spelling of 3000313101120 in words is "three trillion, three hundred thirteen million, one hundred one thousand, one hundred twenty".