1004132010001 has 8 divisors (see below), whose sum is σ = 1033792172840. Its totient is φ = 974604555648.

The previous prime is 1004132009981. The next prime is 1004132010041. The reversal of 1004132010001 is 1000102314001.

It can be written as a sum of positive squares in 4 ways, for example, as 662636700625 + 341495309376 = 814025^2 + 584376^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1004132010001 - 2¹⁹ = 1004131485713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004132010041) 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 7 ways as a sum of consecutive naturals, for example, 33161766 + ... + 33192031.

It is an arithmetic number, because the mean of its divisors is an integer number (129224021605).

Almost surely, 2^{1004132010001} is an apocalyptic number.

It is an amenable number.

1004132010001 is a deficient number, since it is larger than the sum of its proper divisors (29660162839).

1004132010001 is an equidigital number, since it uses as much as digits as its factorization.

1004132010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66354243.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1004132010001 its reverse (1000102314001), we get a palindrome (2004234324002).

The spelling of 1004132010001 in words is "one trillion, four billion, one hundred thirty-two million, ten thousand, one".