1813731301800 has 384 divisors, whose sum is σ = 7173933696000. Its totient is φ = 416550470400.

The previous prime is 1813731301793. The next prime is 1813731301829. The reversal of 1813731301800 is 81031373181.

It is a happy number.

1813731301800 is a `hidden beast` number, since 1 + 81 + 373 + 1 + 30 + 180 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 325069 + ... + 1932131.

It is an arithmetic number, because the mean of its divisors is an integer number (18682119000).

Almost surely, 2^{1813731301800} is an apocalyptic number.

1813731301800 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 1813731301800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586966848000).

1813731301800 is an abundant number, since it is smaller than the sum of its proper divisors (5360202394200).

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

1813731301800 is a wasteful number, since it uses less digits than its factorization.

1813731301800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607118 (or 1607103 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 1813731301800 its reverse (81031373181), we get a palindrome (1894762674981).

The spelling of 1813731301800 in words is "one trillion, eight hundred thirteen billion, seven hundred thirty-one million, three hundred one thousand, eight hundred".