1004121201033 has 12 divisors (see below), whose sum is σ = 1457990995968. Its totient is φ = 665909346840.

The previous prime is 1004121201011. The next prime is 1004121201047. The reversal of 1004121201033 is 3301021214001.

1004121201033 is a `hidden beast` number, since 100 + 412 + 120 + 1 + 0 + 33 = 666.

It is not a de Polignac number, because 1004121201033 - 2²⁹ = 1003584330121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004121200997 and 1004121201015.

It is not an unprimeable number, because it can be changed into a prime (1004121201053) 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 11 ways as a sum of consecutive naturals, for example, 292063785 + ... + 292067222.

It is an arithmetic number, because the mean of its divisors is an integer number (121499249664).

Almost surely, 2^{1004121201033} is an apocalyptic number.

It is an amenable number.

1004121201033 is a deficient number, since it is larger than the sum of its proper divisors (453869794935).

1004121201033 is a wasteful number, since it uses less digits than its factorization.

1004121201033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584131204 (or 584131201 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1004121201033 its reverse (3301021214001), we get a palindrome (4305142415034).

The spelling of 1004121201033 in words is "one trillion, four billion, one hundred twenty-one million, two hundred one thousand, thirty-three".