10044634205133 has 48 divisors (see below), whose sum is σ = 16497448583616. Its totient is φ = 6056754963840.

The previous prime is 10044634205117. The next prime is 10044634205233. The reversal of 10044634205133 is 33150243644001.

10044634205133 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 634 + 2 + 0 + 5 + 13 + 3 = 666.

10044634205133 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 10044634205133 - 2⁴ = 10044634205117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044634205033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9011016 + ... + 10064177.

It is an arithmetic number, because the mean of its divisors is an integer number (343696845492).

Almost surely, 2^{10044634205133} is an apocalyptic number.

It is an amenable number.

10044634205133 is a deficient number, since it is larger than the sum of its proper divisors (6452814378483).

10044634205133 is a wasteful number, since it uses less digits than its factorization.

10044634205133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19075416 (or 19075404 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 10044634205133 its reverse (33150243644001), we get a palindrome (43194877849134).

The spelling of 10044634205133 in words is "ten trillion, forty-four billion, six hundred thirty-four million, two hundred five thousand, one hundred thirty-three".