18100813000 has 64 divisors (see below), whose sum is σ = 42391505520. Its totient is φ = 7234240000.

The previous prime is 18100812997. The next prime is 18100813001. The reversal of 18100813000 is 31800181.

It can be written as a sum of positive squares in 8 ways, for example, as 257730916 + 17843082084 = 16054^2 + 133578^2 .

It is not an unprimeable number, because it can be changed into a prime (18100813001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1294044 + ... + 1307956.

Almost surely, 2^18100813000 is an apocalyptic number.

18100813000 is a gapful number since it is divisible by the number (10) 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 18100813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195752760).

18100813000 is an abundant number, since it is smaller than the sum of its proper divisors (24290692520).

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

18100813000 is a wasteful number, since it uses less digits than its factorization.

18100813000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15235 (or 15221 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The spelling of 18100813000 in words is "eighteen billion, one hundred million, eight hundred thirteen thousand".