1004131332161 has 16 divisors (see below), whose sum is σ = 1076411449344. Its totient is φ = 934251050304.

The previous prime is 1004131332107. The next prime is 1004131332173. The reversal of 1004131332161 is 1612331314001.

It is a cyclic number.

It is not a de Polignac number, because 1004131332161 - 2⁶ = 1004131332097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004131332161.

It is not an unprimeable number, because it can be changed into a prime (1004131332661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2884475 + ... + 3213791.

It is an arithmetic number, because the mean of its divisors is an integer number (67275715584).

Almost surely, 2^{1004131332161} is an apocalyptic number.

It is an amenable number.

1004131332161 is a deficient number, since it is larger than the sum of its proper divisors (72280117183).

1004131332161 is a wasteful number, since it uses less digits than its factorization.

1004131332161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332960.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 1004131332161 its reverse (1612331314001), we get a palindrome (2616462646162).

The spelling of 1004131332161 in words is "one trillion, four billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred sixty-one".