3001013023320 has 384 divisors, whose sum is σ = 10849055293440. Its totient is φ = 714440770560.

The previous prime is 3001013023319. The next prime is 3001013023363. The reversal of 3001013023320 is 233203101003.

3001013023320 is a `hidden beast` number, since 30 + 0 + 1 + 0 + 1 + 302 + 332 + 0 = 666.

It is a super-2 number, since 2×3001013023320² (a number of 26 digits) contains 22 as substring.

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 = 3001013023293 and 3001013023302.

It is a congruent number.

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, 276662137 + ... + 276672983.

It is an arithmetic number, because the mean of its divisors is an integer number (28252748160).

Almost surely, 2^{3001013023320} is an apocalyptic number.

3001013023320 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 3001013023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424527646720).

3001013023320 is an abundant number, since it is smaller than the sum of its proper divisors (7848042270120).

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

3001013023320 is a wasteful number, since it uses less digits than its factorization.

3001013023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12815 (or 12808 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3001013023320 its reverse (233203101003), we get a palindrome (3234216124323).

The spelling of 3001013023320 in words is "three trillion, one billion, thirteen million, twenty-three thousand, three hundred twenty".