1001335314006 has 48 divisors (see below), whose sum is σ = 2178300163104. Its totient is φ = 332434132992.

The previous prime is 1001335313983. The next prime is 1001335314059. The reversal of 1001335314006 is 6004135331001.

1001335314006 is a `hidden beast` number, since 10 + 0 + 1 + 335 + 314 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×1001335314006² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59976996 + ... + 59993688.

It is an arithmetic number, because the mean of its divisors is an integer number (45381253398).

Almost surely, 2^{1001335314006} is an apocalyptic number.

1001335314006 is an abundant number, since it is smaller than the sum of its proper divisors (1176964849098).

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

1001335314006 is a wasteful number, since it uses less digits than its factorization.

1001335314006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29925 (or 29922 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 1001335314006 in words is "one trillion, one billion, three hundred thirty-five million, three hundred fourteen thousand, six".