1006833133116 has 72 divisors (see below), whose sum is σ = 2578092753600. Its totient is φ = 331256540160.

The previous prime is 1006833133093. The next prime is 1006833133147. The reversal of 1006833133116 is 6113313386001.

It is a happy number.

1006833133116 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 8 + 331 + 3 + 311 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9071236 + ... + 9181556.

It is an arithmetic number, because the mean of its divisors is an integer number (35806843800).

Almost surely, 2^{1006833133116} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006833133116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289046376800).

1006833133116 is an abundant number, since it is smaller than the sum of its proper divisors (1571259620484).

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

1006833133116 is a wasteful number, since it uses less digits than its factorization.

1006833133116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113619 (or 113614 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 1006833133116 in words is "one trillion, six billion, eight hundred thirty-three million, one hundred thirty-three thousand, one hundred sixteen".