10006324133 has 16 divisors (see below), whose sum is σ = 11344112640. Its totient is φ = 8756799744.

The previous prime is 10006324123. The next prime is 10006324147. The reversal of 10006324133 is 33142360001.

It is a cyclic number.

It is not a de Polignac number, because 10006324133 - 2¹⁶ = 10006258597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10006324099 and 10006324108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006324123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114293 + ... + 181866.

It is an arithmetic number, because the mean of its divisors is an integer number (709007040).

Almost surely, 2^10006324133 is an apocalyptic number.

10006324133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10006324133 is a deficient number, since it is larger than the sum of its proper divisors (1337788507).

10006324133 is a wasteful number, since it uses less digits than its factorization.

10006324133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296308.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10006324133 its reverse (33142360001), we get a palindrome (43148684134).

The spelling of 10006324133 in words is "ten billion, six million, three hundred twenty-four thousand, one hundred thirty-three".