13373281800 has 144 divisors (see below), whose sum is σ = 45066998340. Its totient is φ = 3553896960.

The previous prime is 13373281741. The next prime is 13373281819. The reversal of 13373281800 is 818237331.

13373281800 is a `hidden beast` number, since 1 + 3 + 373 + 281 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7262107524 + 6111174276 = 85218^2 + 78174^2 .

It is a super-2 number, since 2×13373281800² (a number of 21 digits) contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 514722 + ... + 540078.

Almost surely, 2^13373281800 is an apocalyptic number.

13373281800 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 13373281800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22533499170).

13373281800 is an abundant number, since it is smaller than the sum of its proper divisors (31693716540).

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

13373281800 is a wasteful number, since it uses less digits than its factorization.

13373281800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25672 (or 25660 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13373281800 in words is "thirteen billion, three hundred seventy-three million, two hundred eighty-one thousand, eight hundred".