10005105350333 has 8 divisors (see below), whose sum is σ = 10048981946880. Its totient is φ = 9961230373200.

The previous prime is 10005105350329. The next prime is 10005105350377. The reversal of 10005105350333 is 33305350150001.

10005105350333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10005105350333 - 2² = 10005105350329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10005105350296 and 10005105350305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005105350633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12940916 + ... + 13692242.

It is an arithmetic number, because the mean of its divisors is an integer number (1256122743360).

Almost surely, 2^{10005105350333} is an apocalyptic number.

It is an amenable number.

10005105350333 is a deficient number, since it is larger than the sum of its proper divisors (43876596547).

10005105350333 is an equidigital number, since it uses as much as digits as its factorization.

10005105350333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809707.

The product of its (nonzero) digits is 10125, while the sum is 29.

The spelling of 10005105350333 in words is "ten trillion, five billion, one hundred five million, three hundred fifty thousand, three hundred thirty-three".