3001313101320 has 384 divisors, whose sum is σ = 10253558016000. Its totient is φ = 760706519040.

The previous prime is 3001313101309. The next prime is 3001313101321. The reversal of 3001313101320 is 231013131003.

It is a happy number.

3001313101320 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 31 + 310 + 1 + 320 = 666.

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 = 3001313101293 and 3001313101302.

It is not an unprimeable number, because it can be changed into a prime (3001313101321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81519076 + ... + 81555884.

It is an arithmetic number, because the mean of its divisors is an integer number (26701974000).

Almost surely, 2^{3001313101320} is an apocalyptic number.

3001313101320 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 3001313101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126779008000).

3001313101320 is an abundant number, since it is smaller than the sum of its proper divisors (7252244914680).

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

3001313101320 is a wasteful number, since it uses less digits than its factorization.

3001313101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37013 (or 37006 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3001313101320 its reverse (231013131003), we get a palindrome (3232326232323).

The spelling of 3001313101320 in words is "three trillion, one billion, three hundred thirteen million, one hundred one thousand, three hundred twenty".