10133304505035 has 64 divisors (see below), whose sum is σ = 16795716747264. Its totient is φ = 5211535190400.

The previous prime is 10133304505031. The next prime is 10133304505057. The reversal of 10133304505035 is 53050540333101.

It is a happy number.

10133304505035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10133304505035 - 2² = 10133304505031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10133304504987 and 10133304505005.

It is not an unprimeable number, because it can be changed into a prime (10133304505031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510047172 + ... + 510067038.

It is an arithmetic number, because the mean of its divisors is an integer number (262433074176).

Almost surely, 2^{10133304505035} is an apocalyptic number.

10133304505035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10133304505035 is a deficient number, since it is larger than the sum of its proper divisors (6662412242229).

10133304505035 is a wasteful number, since it uses less digits than its factorization.

10133304505035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23744.

The product of its (nonzero) digits is 40500, while the sum is 33.

Adding to 10133304505035 its reverse (53050540333101), we get a palindrome (63183844838136).

The spelling of 10133304505035 in words is "ten trillion, one hundred thirty-three billion, three hundred four million, five hundred five thousand, thirty-five".