1004133355136 has 32 divisors (see below), whose sum is σ = 2054487385380. Its totient is φ = 488497305600.

The previous prime is 1004133355129. The next prime is 1004133355139. The reversal of 1004133355136 is 6315533314001.

It can be written as a sum of positive squares in 2 ways, for example, as 747975900736 + 256157454400 = 864856^2 + 506120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1004133355096 and 1004133355105.

It is not an unprimeable number, because it can be changed into a prime (1004133355139) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106005965 + ... + 106015436.

Almost surely, 2^{1004133355136} is an apocalyptic number.

1004133355136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1004133355136 is an abundant number, since it is smaller than the sum of its proper divisors (1050354030244).

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

1004133355136 is an equidigital number, since it uses as much as digits as its factorization.

1004133355136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212021452 (or 212021440 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

Adding to 1004133355136 its reverse (6315533314001), we get a palindrome (7319666669137).

The spelling of 1004133355136 in words is "one trillion, four billion, one hundred thirty-three million, three hundred fifty-five thousand, one hundred thirty-six".