1010441144133 has 32 divisors (see below), whose sum is σ = 1522966953600. Its totient is φ = 661929408000.

The previous prime is 1010441144101. The next prime is 1010441144221. The reversal of 1010441144133 is 3314411440101.

1010441144133 is a `hidden beast` number, since 10 + 104 + 411 + 4 + 4 + 133 = 666.

It is not a de Polignac number, because 1010441144133 - 2⁵ = 1010441144101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1010441144097 and 1010441144106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010441144333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3659733 + ... + 3926133.

It is an arithmetic number, because the mean of its divisors is an integer number (47592717300).

Almost surely, 2^{1010441144133} is an apocalyptic number.

It is an amenable number.

1010441144133 is a deficient number, since it is larger than the sum of its proper divisors (512525809467).

1010441144133 is a wasteful number, since it uses less digits than its factorization.

1010441144133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268850 (or 268844 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1010441144133 its reverse (3314411440101), we get a palindrome (4324852584234).

The spelling of 1010441144133 in words is "one trillion, ten billion, four hundred forty-one million, one hundred forty-four thousand, one hundred thirty-three".