1001130306336 has 144 divisors (see below), whose sum is σ = 2879062595136. Its totient is φ = 329957733888.

The previous prime is 1001130306287. The next prime is 1001130306377. The reversal of 1001130306336 is 6336030311001.

1001130306336 is a `hidden beast` number, since 10 + 0 + 1 + 13 + 0 + 3 + 0 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 19344751 + ... + 19396433.

It is an arithmetic number, because the mean of its divisors is an integer number (19993490244).

Almost surely, 2^{1001130306336} is an apocalyptic number.

1001130306336 is a gapful number since it is divisible by the number (16) 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 1001130306336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439531297568).

1001130306336 is an abundant number, since it is smaller than the sum of its proper divisors (1877932288800).

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

1001130306336 is a wasteful number, since it uses less digits than its factorization.

1001130306336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52455 (or 52444 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 1001130306336 its reverse (6336030311001), we get a palindrome (7337160617337).

The spelling of 1001130306336 in words is "one trillion, one billion, one hundred thirty million, three hundred six thousand, three hundred thirty-six".