1343003133600 has 360 divisors, whose sum is σ = 4964780163420. Its totient is φ = 353226977280.

The previous prime is 1343003133553. The next prime is 1343003133611. The reversal of 1343003133600 is 63313003431.

1343003133600 is a `hidden beast` number, since 1 + 3 + 43 + 0 + 0 + 3 + 13 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 302627613456 + 1040375520144 = 550116^2 + 1019988^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 4588446 + ... + 4872354.

Almost surely, 2^{1343003133600} is an apocalyptic number.

1343003133600 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 1343003133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482390081710).

1343003133600 is an abundant number, since it is smaller than the sum of its proper divisors (3621777029820).

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

1343003133600 is a wasteful number, since it uses less digits than its factorization.

1343003133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284014 (or 283992 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The spelling of 1343003133600 in words is "one trillion, three hundred forty-three billion, three million, one hundred thirty-three thousand, six hundred".