1001116673337 has 16 divisors (see below), whose sum is σ = 1456212593088. Its totient is φ = 606719508480.

The previous prime is 1001116673327. The next prime is 1001116673369. The reversal of 1001116673337 is 7333766111001.

It is not a de Polignac number, because 1001116673337 - 2²⁸ = 1000848237881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001116673295 and 1001116673304.

It is not an unprimeable number, because it can be changed into a prime (1001116673327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 737593 + ... + 1595705.

It is an arithmetic number, because the mean of its divisors is an integer number (91013287068).

Almost surely, 2^{1001116673337} is an apocalyptic number.

It is an amenable number.

1001116673337 is a deficient number, since it is larger than the sum of its proper divisors (455095919751).

1001116673337 is a wasteful number, since it uses less digits than its factorization.

1001116673337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893480.

The product of its (nonzero) digits is 47628, while the sum is 39.

The spelling of 1001116673337 in words is "one trillion, one billion, one hundred sixteen million, six hundred seventy-three thousand, three hundred thirty-seven".