10001133313123 has 16 divisors (see below), whose sum is σ = 10119630751776. Its totient is φ = 9883389035520.

The previous prime is 10001133313069. The next prime is 10001133313153. The reversal of 10001133313123 is 32131333110001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001133313123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001133313094 and 10001133313103.

It is not an unprimeable number, because it can be changed into a prime (10001133313153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62640211 + ... + 62799667.

It is an arithmetic number, because the mean of its divisors is an integer number (632476921986).

Almost surely, 2^{10001133313123} is an apocalyptic number.

10001133313123 is a deficient number, since it is larger than the sum of its proper divisors (118497438653).

10001133313123 is a wasteful number, since it uses less digits than its factorization.

10001133313123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161814.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 10001133313123 its reverse (32131333110001), we get a palindrome (42132466423124).

The spelling of 10001133313123 in words is "ten trillion, one billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred twenty-three".