6813010120 has 256 divisors, whose sum is σ = 19261440000. Its totient is φ = 2116316160.

The previous prime is 6813010109. The next prime is 6813010147. The reversal of 6813010120 is 210103186.

It is a junction number, because it is equal to n+sod(n) for n = 6813010091 and 6813010100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17976091 + ... + 17976469.

It is an arithmetic number, because the mean of its divisors is an integer number (75240000).

Almost surely, 2^6813010120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6813010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9630720000).

6813010120 is an abundant number, since it is smaller than the sum of its proper divisors (12448429880).

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

6813010120 is a wasteful number, since it uses less digits than its factorization.

6813010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 6813010120 is about 82540.9602561056. The cubic root of 6813010120 is about 1895.7439471259.

The spelling of 6813010120 in words is "six billion, eight hundred thirteen million, ten thousand, one hundred twenty".