1083413329200 has 150 divisors (see below), whose sum is σ = 3888283614204. Its totient is φ = 288910212480.

The previous prime is 1083413329151. The next prime is 1083413329213. The reversal of 1083413329200 is 29233143801.

1083413329200 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 413 + 32 + 9 + 200 = 666.

1083413329200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (150).

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 29 ways as a sum of consecutive naturals, for example, 16686942 + ... + 16751741.

Almost surely, 2^{1083413329200} is an apocalyptic number.

1083413329200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1083413329200 is an abundant number, since it is smaller than the sum of its proper divisors (2804870285004).

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

1083413329200 is a wasteful number, since it uses less digits than its factorization.

1083413329200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33438713 (or 33438693 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1083413329200 in words is "one trillion, eighty-three billion, four hundred thirteen million, three hundred twenty-nine thousand, two hundred".