1813291199100 has 504 divisors, whose sum is σ = 6221504298240. Its totient is φ = 457251661440.

The previous prime is 1813291199099. The next prime is 1813291199107. The reversal of 1813291199100 is 19911923181.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813291199107) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1145476909 + ... + 1145478491.

It is an arithmetic number, because the mean of its divisors is an integer number (12344254560).

Almost surely, 2^{1813291199100} is an apocalyptic number.

1813291199100 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 1813291199100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110752149120).

1813291199100 is an abundant number, since it is smaller than the sum of its proper divisors (4408213099140).

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

1813291199100 is a wasteful number, since it uses less digits than its factorization.

1813291199100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 45.

The spelling of 1813291199100 in words is "one trillion, eight hundred thirteen billion, two hundred ninety-one million, one hundred ninety-nine thousand, one hundred".