10001133043434 has 160 divisors (see below), whose sum is σ = 24243551104080. Its totient is φ = 3063297097728.

The previous prime is 10001133043339. The next prime is 10001133043477. The reversal of 10001133043434 is 43434033110001.

10001133043434 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 13 + 304 + 343 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1705022235225 + 8296110808209 = 1305765^2 + 2880297^2 .

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 = 10001133043398 and 10001133043407.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 672608952 + ... + 672623820.

Almost surely, 2^{10001133043434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001133043434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12121775552040).

10001133043434 is an abundant number, since it is smaller than the sum of its proper divisors (14242418060646).

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

10001133043434 is a wasteful number, since it uses less digits than its factorization.

10001133043434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16326 (or 16317 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10001133043434 its reverse (43434033110001), we get a palindrome (53435166153435).

The spelling of 10001133043434 in words is "ten trillion, one billion, one hundred thirty-three million, forty-three thousand, four hundred thirty-four".