13018810000 has 225 divisors, whose sum is σ = 36892261791. Its totient is φ = 4436208000.

The previous prime is 13018809983. The next prime is 13018810061. The reversal of 13018810000 is 1881031.

The square root of 13018810000 is 114100.

It is a perfect power (a square), and thus also a powerful number.

13018810000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1020674704 + 11998135296 = 31948^2 + 109536^2 .

It is a super-2 number, since 2×13018810000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 79869919 + ... + 79870081.

Almost surely, 2^13018810000 is an apocalyptic number.

13018810000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13018810000 is the 114100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13018810000

13018810000 is an abundant number, since it is smaller than the sum of its proper divisors (23873451791).

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

13018810000 is an frugal number, since it uses more digits than its factorization.

13018810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 177 counting only the distinct ones).

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

The spelling of 13018810000 in words is "thirteen billion, eighteen million, eight hundred ten thousand".