10104033313332 has 144 divisors (see below), whose sum is σ = 29229189050880. Its totient is φ = 2882936945664.

The previous prime is 10104033313307. The next prime is 10104033313369. The reversal of 10104033313332 is 23331333040101.

10104033313332 is a `hidden beast` number, since 1 + 0 + 10 + 4 + 0 + 3 + 3 + 313 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10104033313296 and 10104033313305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725180238 + ... + 725194170.

It is an arithmetic number, because the mean of its divisors is an integer number (202980479520).

Almost surely, 2^{10104033313332} is an apocalyptic number.

10104033313332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10104033313332 is an abundant number, since it is smaller than the sum of its proper divisors (19125155737548).

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

10104033313332 is a wasteful number, since it uses less digits than its factorization.

10104033313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17662 (or 17657 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 10104033313332 its reverse (23331333040101), we get a palindrome (33435366353433).

The spelling of 10104033313332 in words is "ten trillion, one hundred four billion, thirty-three million, three hundred thirteen thousand, three hundred thirty-two".